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Journal articles on the topic 'Carleson embeddings'

Author: Grafiati

Published: 4 June 2021

Last updated: 15 February 2022

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1

Heiming, Helmut J. "Carleson embeddings." Abstract and Applied Analysis 1, no. 2 (1996): 193–201. http://dx.doi.org/10.1155/s1085337596000097.

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In this paper we discuss several operator ideal properties for so called Carleson embeddings of tent spaces into specificL q(μ)-spaces, whereμis a Carleson measure on the complex unit disc. Characterizing absolutelyq-summing, absolutely continuous andq-integral Carleson embeddings in terms of the underlying measure is our main topic. The presented results extend and integrate results especially known for composition operators on Hardy spaces as well as embedding theorems for function spaces of similar kind.

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2

Blandignères, Alain, Emmanuel Fricain, Frédéric Gaunard, Andreas Hartmann, and William Ross. "Reverse Carleson embeddings for model spaces." Journal of the London Mathematical Society 88, no. 2 (July 17, 2013): 437–64. http://dx.doi.org/10.1112/jlms/jdt018.

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3

Cima, Joseph A., and Alec L. Matheson. "On Carleson Embeddings Of Star-invariant Supspaces." Quaestiones Mathematicae 26, no. 3 (September 2003): 279–88. http://dx.doi.org/10.2989/16073600309486059.

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4

Gaillard, Loïc, and Pascal Lefèvre. "Lacunary Müntz spaces: isomorphisms and Carleson embeddings." Annales de l’institut Fourier 68, no. 5 (2018): 2215–51. http://dx.doi.org/10.5802/aif.3207.

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5

Lefèvre, Pascal, and Luis Rodríguez-Piazza. "Absolutely summing Carleson embeddings on Hardy spaces." Advances in Mathematics 340 (December 2018): 528–87. http://dx.doi.org/10.1016/j.aim.2018.10.012.

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6

Xiao, Jie. "Carleson embeddings for Sobolev spaces via heat equation." Journal of Differential Equations 224, no. 2 (May 2006): 277–95. http://dx.doi.org/10.1016/j.jde.2005.07.014.

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7

Tang, Lin. "Choquet integrals, weighted Hausdorff content and maximal operators." gmj 18, no. 3 (July 14, 2011): 587–96. http://dx.doi.org/10.1515/gmj.2011.0036.

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Abstract The boundedness of maximal operators on the weighted Choquet space and the Choquet–Morrey space is established. These results are used to study Carleson embeddings for weighted Sobolev spaces.

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8

Jacob, Birgit, Jonathan R. Partington, and Sandra Pott. "Applications of Laplace--Carleson Embeddings to Admissibility and Controllability." SIAM Journal on Control and Optimization 52, no. 2 (January 2014): 1299–313. http://dx.doi.org/10.1137/120894750.

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9

Rydhe, Eskil. "Vectorial Hankel operators, Carleson embeddings, and notions of BMOA." Geometric and Functional Analysis 27, no. 2 (March 7, 2017): 427–51. http://dx.doi.org/10.1007/s00039-017-0400-4.

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10

Jovanović, T. "On Carleson-Type Embeddings for Bergman Spaces of Harmonic Functions." Analysis Mathematica 44, no. 4 (December 16, 2017): 493–99. http://dx.doi.org/10.1007/s10476-017-0602-x.

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11

SMITH, M. P. "TESTING SCHATTEN CLASS HANKEL OPERATORS AND CARLESON EMBEDDINGS VIA REPRODUCING KERNELS." Journal of the London Mathematical Society 71, no. 01 (February 2005): 172–86. http://dx.doi.org/10.1112/s0024610704005988.

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12

Mastyło, Mieczysław, and Luis Rodríguez-Piazza. "Carleson measures and embeddings of abstract Hardy spaces into function lattices." Journal of Functional Analysis 268, no. 4 (February 2015): 902–28. http://dx.doi.org/10.1016/j.jfa.2014.11.004.

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13

Constantin, Olivia. "Carleson embeddings and some classes of operators on weighted Bergman spaces." Journal of Mathematical Analysis and Applications 365, no. 2 (May 2010): 668–82. http://dx.doi.org/10.1016/j.jmaa.2009.11.035.

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14

Rydhe, Eskil. "On Laplace–Carleson embeddings, and $L^p$-mapping properties of the Fourier transform." Arkiv för Matematik 58, no. 2 (2020): 437–57. http://dx.doi.org/10.4310/arkiv.2020.v58.n2.a10.

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15

Baranov, A. D. "Bernstein-type inequalities for shift-coinvariant subspaces and their applications to Carleson embeddings." Journal of Functional Analysis 223, no. 1 (June 2005): 116–46. http://dx.doi.org/10.1016/j.jfa.2004.08.014.

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16

Mleczko, Paweł, and Michał Rzeczkowski. "Carleson measures on circular domains and canonical embeddings of Hardy spaces into function lattices." Banach Journal of Mathematical Analysis 13, no. 4 (October 2019): 864–83. http://dx.doi.org/10.1215/17358787-2019-0013.

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17

Nana, Cyrille, and Benoît Florent Sehba. "Carleson Embeddings and Two Operators on Bergman Spaces of Tube Domains over Symmetric Cones." Integral Equations and Operator Theory 83, no. 2 (January 6, 2015): 151–78. http://dx.doi.org/10.1007/s00020-014-2210-5.

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18

Jacob, Birgit, Jonathan R. Partington, and Sandra Pott. "On Laplace–Carleson embedding theorems." Journal of Functional Analysis 264, no. 3 (February 2013): 783–814. http://dx.doi.org/10.1016/j.jfa.2012.11.016.

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19

Culiuc, Amalia, and Sergei Treil. "The Carleson Embedding Theorem with Matrix Weights." International Mathematics Research Notices 2019, no. 11 (September 18, 2017): 3301–12. http://dx.doi.org/10.1093/imrn/rnx222.

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20

Cao, Mingming, Hitoshi Tanaka, Qingying Xue, and Kozo Yabuta. "A note on Carleson embedding theorems." Publicationes Mathematicae Debrecen 93, no. 3-4 (October 1, 2018): 517–23. http://dx.doi.org/10.5486/pmd.2018.8309.

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21

Li, Songxiao, Junming Liu, and Cheng Yuan. "Embedding Theorems for Dirichlet Type Spaces." Canadian Mathematical Bulletin 63, no. 1 (July 22, 2019): 106–17. http://dx.doi.org/10.4153/s0008439519000201.

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AbstractWe use the Carleson measure-embedding theorem for weighted Bergman spaces to characterize the positive Borel measures $\unicode[STIX]{x1D707}$ on the unit disc such that certain analytic function spaces of Dirichlet type are embedded (compactly embedded) in certain tent spaces associated with a measure $\unicode[STIX]{x1D707}$. We apply these results to study Volterra operators and multipliers acting on the mentioned spaces of Dirichlet type.

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22

Nazarov, Fedor, Serguei Treil, and Alexander Volberg. "Counterexample to the infinite dimensional carleson embedding theorem." Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 325, no. 4 (August 1997): 383–88. http://dx.doi.org/10.1016/s0764-4442(97)85621-2.

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23

Goldberg, Michael. "Asymptotic properties of the vector Carleson embedding theorem." Proceedings of the American Mathematical Society 130, no. 2 (June 6, 2001): 529–31. http://dx.doi.org/10.1090/s0002-9939-01-06109-3.

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24

Jasiczak, M. "Carleson embedding theorem on convex finite type domains." Journal of Mathematical Analysis and Applications 362, no. 1 (February 2010): 167–89. http://dx.doi.org/10.1016/j.jmaa.2009.09.022.

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25

Hytönen, Tuomas, and Mikko Kemppainen. "On the relation of Carleson's embedding and the maximal theorem in the context of Banach space geometry." MATHEMATICA SCANDINAVICA 109, no. 2 (December 1, 2011): 269. http://dx.doi.org/10.7146/math.scand.a-15189.

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Hytönen, McIntosh and Portal (J. Funct. Anal., 2008) proved two vector-valued generalizations of the classical Carleson embedding theorem, both of them requiring the boundedness of a new vector-valued maximal operator, and the other one also the type $p$ property of the underlying Banach space as an assumption. We show that these conditions are also necessary for the respective embedding theorems, thereby obtaining new equivalences between analytic and geometric properties of Banach spaces.

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26

Domelevo, Komla, Stefanie Petermichl, and Kristina Ana Škreb. "Failure of the matrix weighted bilinear Carleson embedding theorem." Linear Algebra and its Applications 582 (December 2019): 452–66. http://dx.doi.org/10.1016/j.laa.2019.08.011.

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27

di Plinio, Francesco, and Yumeng Ou. "A modulation invariant Carleson embedding theorem outside local L2." Journal d'Analyse Mathématique 135, no. 2 (June 2018): 675–711. http://dx.doi.org/10.1007/s11854-018-0049-4.

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28

Petermichl, Stefanie, Sergei Treil, and Brett D. Wick. "Carleson potentials and the reproducing kernel thesis for embedding theorems." Illinois Journal of Mathematics 51, no. 4 (October 2007): 1249–63. http://dx.doi.org/10.1215/ijm/1258138542.

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29

Rydhe, Eskil. "Two More Counterexamples to the Infinite Dimensional Carleson Embedding Theorem." International Mathematics Research Notices 2018, no. 24 (June 14, 2017): 7655–80. http://dx.doi.org/10.1093/imrn/rnx120.

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30

Buzzard, Gregery T., and Franc Forstneric. "A Carleman type theorem for proper holomorphic embeddings." Arkiv för Matematik 35, no. 1 (March 1997): 157–69. http://dx.doi.org/10.1007/bf02559596.

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31

Hu, Bingyang, and Songxiao Li. "𝒩(p, q, s)-type spaces in the unit ball of ℂn(II): Carleson measure and its application." Forum Mathematicum 32, no. 1 (January 1, 2020): 79–94. http://dx.doi.org/10.1515/forum-2019-0174.

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AbstractThe purpose of this paper is to study a new class of function spaces, called {\mathcal{N}(p,q,s)}-type spaces, in the unit ball {{\mathbb{B}}} of {{\mathbb{C}}^{n}}. The Carleson measure on such spaces is investigated. Some embedding theorems among {\mathcal{N}(p,q,s)}-type spaces, weighted Bergman spaces and weighted Hardy spaces are established. As for applications, the Hadamard products and random power series on {\mathcal{N}(p,q,s)}-type spaces are also studied.

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32

Rydhe, Eskil. "Corrigendum to “Two More Counterexamples to the Infinite Dimensional Carleson Embedding Theorem”." International Mathematics Research Notices 2018, no. 24 (July 10, 2017): 7776. http://dx.doi.org/10.1093/imrn/rnx161.

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33

Esperidião, A. S. C., and R. F. S. Andrade. "Occurrence of secular terms in the Carleman embedding." Journal of Mathematical Physics 27, no. 1 (January 1986): 66–70. http://dx.doi.org/10.1063/1.527354.

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34

Bickel, Kelly, and Brett D. Wick. "A study of the matrix Carleson Embedding Theorem with applications to sparse operators." Journal of Mathematical Analysis and Applications 435, no. 1 (March 2016): 229–43. http://dx.doi.org/10.1016/j.jmaa.2015.10.023.

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35

Vinogradov, S. A. "Some analogs of the Carleson embedding theorem for certain Hilbetr spaces of analytic functions." Journal of Mathematical Sciences 80, no. 4 (July 1996): 1897–907. http://dx.doi.org/10.1007/bf02367004.

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36

Mavelli, Gabriella, Giovanni Palombo, and Pasquale Palumbo. "A Stochastic Optimal Regulator for a Class of Nonlinear Systems." Mathematical Problems in Engineering 2019 (October 10, 2019): 1–8. http://dx.doi.org/10.1155/2019/9763193.

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This work investigates an optimal control problem for a class of stochastic differential bilinear systems, affected by a persistent disturbance provided by a nonlinear stochastic exogenous system (nonlinear drift and multiplicative state noise). The optimal control problem aims at minimizing the average value of a standard quadratic-cost functional on a finite horizon. It has been supposed that neither the state of the system nor the state of the exosystem is directly measurable (incomplete information case). The approach is based on the Carleman embedding, which allows to approximate the nonlinear stochastic exosystem in the form of a bilinear system (linear drift and multiplicative noise) with respect to an extended state that includes the state Kronecker powers up to a chosen degree. This way the stochastic optimal control problem may be restated in a bilinear setting and the optimal solution is provided among all the affine transformations of the measurements. The present work is a nontrivial extension of previous work of the authors, where the Carleman approach was exploited in a framework where only additive noises had been conceived for the state and for the exosystem. Numerical simulations support theoretical results by showing the improvements in the regulator performances by increasing the order of the approximation.

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37

Huang, C. X., L. E. C. Ling, M. E. McCully, and M. J. Canny. "Cryo analytical microscopy: Multiple applications for plant structure and physiology." Proceedings, annual meeting, Electron Microscopy Society of America 54 (August 11, 1996): 76–77. http://dx.doi.org/10.1017/s0424820100162843.

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Carleton University’s cyo-analytical SEM facility deals with a very wide range of specimens from all the sciences. One of its major specializations is the study of plant structure and function, as illustrated by reference to particular research programs, for example: Stabilization of structures that cannot be preserved by conventional fixation and embedding methods. Many plant tissues are constructed of extremely fragile cell walls containing large vacuoles with high turgor pressures within, interspersed with large volumes of air or fluid. Plants which grow under water are a conspicuous example, requiring large internal open channels for the transport of gases to and from the roots. Other fragile tissues and those having cell walls that are impermeable to solvents and resins have been preserved in roots of desert monocotyledons, and in tree roots. Fluids in spaces between cells. We have pioneered the discovery that many intercellular spaces in plant tissues, always believed to contain air, are in fact filled with fluid. These spaces in sugarcane stems (Figs. 1 & 2) have been shown to contain both strong sugar solution, and an endophyte that lives on this sugar and fixes atmospheric nitrogen. The large air spaces (aerenchyma) in some roots, always considered an aeration system, have been shown to contain water some of the time, and to enhance diffusion of solutes in roots. We have also discovered that roots, always considered to be organs for collecting water from soil, also excrete water to the soil at night. Distribution of nutrient ions in plant tissues. Quantitative analysis of nutrient ions (especially potassium) in individual cells of roots, stems and leaves are opening up new perspectives on the acquisition, use and transport of ions in plants. Bubbles of air and water.

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38

Kucik, Andrzej S. "Laplace–Carleson embeddings and weighted infinite-time admissibility." Mathematics of Control, Signals, and Systems 29, no. 3 (June 15, 2017). http://dx.doi.org/10.1007/s00498-017-0198-5.

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39

Do, Yen, and Mark Lewers. "Generalized Carleson Embeddings into Weighted Outer Measure Spaces." Journal of Mathematical Analysis and Applications, September 2021, 125698. http://dx.doi.org/10.1016/j.jmaa.2021.125698.

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40

Sehba, Benoît F. "Carleson embeddings with loss for Bergman–Orlicz spaces of the unit ball." Complex Variables and Elliptic Equations, July 19, 2020, 1–15. http://dx.doi.org/10.1080/17476933.2020.1793967.

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41

Partington, Jonathan R., Sandra Pott, and Radosław Zawiski. "Laplace–Carleson Embeddings on Model Spaces and Boundedness of Truncated Hankel and Toeplitz Operators." Integral Equations and Operator Theory 92, no. 4 (August 2020). http://dx.doi.org/10.1007/s00020-020-02594-5.

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42

Amenta, Alex, and Gennady Uraltsev. "Banach-Valued Modulation Invariant Carleson Embeddings and Outer-$$L^p$$ Spaces: The Walsh Case." Journal of Fourier Analysis and Applications 26, no. 4 (June 22, 2020). http://dx.doi.org/10.1007/s00041-020-09768-0.

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43

Dje, Jean Marcel Tanoh, and Benoît Florent Sehba. "Carleson embeddings for Hardy-Orlicz and Bergman-Orlicz spaces of the upper-half plane." Functiones et Approximatio Commentarii Mathematici -1, no. -1 (January 1, 2021). http://dx.doi.org/10.7169/facm/1877.

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44

"Volterra integral operators and Carleson embedding on Campanato spaces." Journal of Nonlinear and Variational Analysis 5, no. 1 (2021): 141–53. http://dx.doi.org/10.23952/jnva.5.2021.1.09.

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45

Pang, Changbao, Antti Perälä, and Maofa Wang. "Embedding Theorems and Area Operators on Bergman Spaces with Doubling Measure." Complex Analysis and Operator Theory 15, no. 3 (March 3, 2021). http://dx.doi.org/10.1007/s11785-021-01089-4.

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AbstractWe establish an embedding theorem for the weighted Bergman spaces induced by a positive Borel measure $$d\omega (y)dx$$ d ω ( y ) d x with the doubling property $$\omega (0,2t)\le C\omega (0,t)$$ ω ( 0 , 2 t ) ≤ C ω ( 0 , t ) . The characterization is given in terms of Carleson squares on the upper half-plane. As special cases, our result covers the standard weights and logarithmic weights. As an application, we also establish the boundedness of the area operator.

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46

Sun, Fangmei, and Hasi Wulan. "Characterizations of Morrey type spaces." Canadian Mathematical Bulletin, May 14, 2021, 1–17. http://dx.doi.org/10.4153/s0008439521000308.

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Abstract For a nondecreasing function $K: [0, \infty)\rightarrow [0, \infty)$ and $0<s<\infty $ , we introduce a Morrey type space of functions analytic in the unit disk $\mathbb {D}$ , denoted by $\mathcal {D}^s_K$ . Some characterizations of $\mathcal {D}^s_K$ are obtained in terms of K-Carleson measures. A relationship between two spaces $\mathcal {D}^{s_1}_K$ and $\mathcal {D}^{s_2}_K$ is given by fractional order derivatives. As an extension of some known results, for a positive Borel measure $\mu $ on $\mathbb {D}$ , we find sufficient or necessary condition for the embedding map $I: \mathcal {D}^{s}_{K}\mapsto \mathcal {T}^s_{K}(\mu)$ to be bounded.

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