Relevant bibliographies by topics / Bounded holomorphic function

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Bounded holomorphic function'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Bounded holomorphic function"

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BOYD, CHRISTOPHER, and PILAR RUEDA. "HOLOMORPHIC SUPERPOSITION OPERATORS BETWEEN BANACH FUNCTION SPACES." Journal of the Australian Mathematical Society 96, no. 2 (2013): 186–97. http://dx.doi.org/10.1017/s1446788713000578.

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AbstractWe prove that for a large class of Banach function spaces continuity and holomorphy of superposition operators are equivalent and that bounded superposition operators are continuous. We also use techniques from infinite dimensional holomorphy to establish the boundedness of certain superposition operators. Finally, we apply our results to the study of superposition operators on weighted spaces of holomorphic functions and the $F(p, \alpha , \beta )$ spaces of Zhao. Some independent properties on these spaces are also obtained.
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Berg, Christian, Khristo Boyadzhiev, and Ralph Delaubenfels. "Generation of generators of holomorphic semigroups." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 55, no. 2 (1993): 246–69. http://dx.doi.org/10.1017/s1446788700032067.

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AbstractWe construct a functional calculus, g → g(A), for functions, g, that are the sum of a Stieltjes function and a nonnegative operator monotone function, and unbounded linear operators, A, whose resolvent set contains (−∞, 0), with {‖r(r + A)−1‖ ¦ r > 0} bounded. For such functions g, we show that –g(A) generates a bounded holomorphic strongly continuous semigroup of angle θ, whenever –A does.We show that, for any Bernstein function f, − f(A) generates a bounded holomorphic strongly continuous semigroup of angle π/2, whenever − A does.We also prove some new results about the Bochner-Ph
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Alves, Thiago R., and Geraldo Botelho. "Holomorphic functions with distinguished properties on infinite dimensional spaces." Quarterly Journal of Mathematics 70, no. 3 (2018): 797–811. http://dx.doi.org/10.1093/qmath/hay065.

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Abstract In this paper, we develop a method to construct holomorphic functions that exist only on infinite dimensional spaces. The following types of holomorphic functions f:U→ℂ on some open subsets U of an infinite dimensional complex Banach space are constructed: (1) f is bounded holomorphic on U and is continuously, but not uniformly continuously extended to U¯; (2) f is continuous on U¯ and holomorphic of bounded type on U, but f is unbounded on U; (3) f is holomorphic of bounded type on U and f cannot be continuously extended to U¯. The technique we develop is powerful enough to provide,
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Bandura, Andriy, and Oleh Skaskiv. "Slice Holomorphic Functions in Several Variables with Bounded L-Index in Direction." Axioms 8, no. 3 (2019): 88. http://dx.doi.org/10.3390/axioms8030088.

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In this paper, for a given direction b ∈ C n \ { 0 } we investigate slice entire functions of several complex variables, i.e., we consider functions which are entire on a complex line { z 0 + t b : t ∈ C } for any z 0 ∈ C n . Unlike to quaternionic analysis, we fix the direction b . The usage of the term slice entire function is wider than in quaternionic analysis. It does not imply joint holomorphy. For example, it allows consideration of functions which are holomorphic in variable z 1 and continuous in variable z 2 . For this class of functions there is introduced a concept of boundedness of
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Lárusson, Finnur. "Holomorphic Functions of Slow Growth on Nested Covering Spaces of Compact Manifolds." Canadian Journal of Mathematics 52, no. 5 (2000): 982–98. http://dx.doi.org/10.4153/cjm-2000-041-0.

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AbstractLet Y be an infinite covering space of a projective manifold M in N of dimension n ≥ 2. Let C be the intersection with M of at most n − 1 generic hypersurfaces of degree d in N. The preimage X of C in Y is a connected submanifold. Let φ be the smoothed distance from a fixed point in Y in a metric pulled up from M. Let φ(X) be the Hilbert space of holomorphic functions f on X such that f2e−φ is integrable on X, and define φ(Y) similarly. Our main result is that (under more general hypotheses than described here) the restriction φ(Y) → φ(X) is an isomorphism for d large enough.This yield
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Li, Songxiao, and Stevo Stevic. "Weighted Composition Operators fromH∞to the Bloch Space on the Polydisc." Abstract and Applied Analysis 2007 (2007): 1–13. http://dx.doi.org/10.1155/2007/48478.

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LetDnbe the unit polydisc ofℂn,ϕ(z)=(ϕ1(z),…,ϕn(z))be a holomorphic self-map ofDn, andψ(z)a holomorphic function onDn. LetH(Dn)denote the space of all holomorphic functions with domainDn,H∞(Dn)the space of all bounded holomorphic functions onDn, andB(Dn)the Bloch space, that is,B(Dn)={f∈H(Dn)|‖f‖B=|f(0)|+supz∈Dn∑k=1n|(∂f/∂zk)(z)|(1−|zk|2)<+∞}. We give necessary and sufficient conditions for the weighted composition operatorψCϕinduced byϕ(z)andψ(z)to be bounded and compact fromH∞(Dn)to the Bloch spaceB(Dn).
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Agler, Jim, and John E. McCarthy. "Global Holomorphic Functions in Several Noncommuting Variables." Canadian Journal of Mathematics 67, no. 2 (2015): 241–85. http://dx.doi.org/10.4153/cjm-2014-024-1.

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AbstractWe define a free holomorphic function to be a function that is locally, with respect to the free topology, a bounded nc-function. We prove that free holomorphic functions are the functions that are locally uniformly approximable by free polynomials. We prove a realization formula and an Oka-Weil theorem for free analytic functions.
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Agler, Jim, and John McCarthy. "Global Holomorphic Functions in Several Non-Commuting Variables II." Canadian Mathematical Bulletin 61, no. 3 (2018): 458–63. http://dx.doi.org/10.4153/cmb-2017-044-4.

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AbstractWe give a new proof that bounded non-commutative functions on polynomial polyhedra can be represented by a realization formula, a generalization of the transfer function realization formula for bounded analytic functions on the unit disk.
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Bandura, Andriy, and Oleh Skaskiv. "Some criteria of boundedness of the L-index in direction for slice holomorphic functions of several complex variables." Ukrainian Mathematical Bulletin 16, no. 2 (2019): 154–80. http://dx.doi.org/10.37069/1810-3200-2019-16-2-1.

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We investigate the slice holomorphic functions of several complex variables that have a bounded \(L\)-index in some direction and are entire on every slice \(\{z^0+t\mathbf{b}: t\in\mathbb{C}\}\) for every \(z^0\in\mathbb{C}^n\) and for a given direction \(\mathbf{b}\in\mathbb{C}^n\setminus\{\mathbf{0}\}\). For this class of functions, we prove some criteria of boundedness of the \(L\)-index in direction describing a local behavior of the maximum and minimum moduli of a slice holomorphic function and give estimates of the logarithmic derivative and the distribution of zeros. Moreover, we obtai
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Leban, Darja Govekar. "Degree and holomorphic extendibility." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 143, no. 1 (2013): 129–39. http://dx.doi.org/10.1017/s0308210511000497.

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Recently it was shown that if D is a bounded domain in ℂ whose boundary consists of a finite number of pairwise disjoint simple closed curves, then a continuous function f on bD extends holomorphically through D if and only if, for each g ∈ A(D) such that f + g has no zero on bD, the degree of f + g is non-negative (which, for these special domains, is equivalent to the fact that the change of argument of f + g along bD is non-negative). Here A(D) is the algebra of all continuous functions on D which are holomorphic on D. This fails to hold for general domains, and generalizing to more general
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Dissertations / Theses on the topic "Bounded holomorphic function"

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Backlund, Ulf. "Envelopes of holomorphy for bounded holomorphic functions." Doctoral thesis, Umeå universitet, Institutionen för matematik och matematisk statistik, 1992. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-141155.

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Some problems concerning holomorphic continuation of the class of bounded holo­morphic functions from bounded domains in Cn that are domains of holomorphy are solved. A bounded domain of holomorphy Ω in C2 with nonschlicht H°°-envelope of holomorphy is constructed and it is shown that there is a point in D for which Glea­son’s Problem for H°°(Ω) cannot be solved. Furthermore a proof of the existence of a bounded domain of holomorphy in C2 for which the volume of the H°°-envelope of holomorphy is infinite is given. The idea of the proof is to put a family of so-called ”Sibony domains” into the
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Fällström, Anders. "Algebras of bounded holomorphic functions." Doctoral thesis, Umeå universitet, Institutionen för matematik, teknik och naturvetenskap, 1994. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-114744.

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Some problems concerning the algebra of bounded holomorphic functions from bounded domains in Cn are solved. A bounded domain of holomorphy Q in C2 with nonschlicht i7°°- envelope of holomorphy is constructed and it is shown that there is a point in Q for which Gleason’s Problem for H°°(Q) cannot be solved. If A(f2) is the Banach algebra of functions holomorphic in the bounded domain Q in Cn and continuous on the boundary and if p is a point in Q, then the following problem is known as Gleason’s Problem for A(Q) : Is the maximal ideal in A(Q) consisting of functions vanishing at p generated by
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Beltrán, Meneu María José. "Operators on wighted spaces of holomorphic functions." Doctoral thesis, Universitat Politècnica de València, 2014. http://hdl.handle.net/10251/36578.

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The Ph.D. Thesis ¿Operators on weighted spaces of holomorphic functions¿ presented here treats different areas of functional analysis such as spaces of holomorphic functions, infinite dimensional holomorphy and dynamics of operators. After a first chapter that introduces the notation, definitions and the basic results we will use throughout the thesis, the text is divided into two parts. A first one, consisting of Chapters 1 and 2, focused on a study of weighted (LB)-spaces of entire functions on Banach spaces, and a second one, corresponding to Chapters 3 and 4, where we consider diffe
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Choe, Boo Rim. "Composition with bounded holomorphic functions on the ball." 1988. http://catalog.hathitrust.org/api/volumes/oclc/18972345.html.

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Thesis (Ph. D.)--University of Wisconsin--Madison, 1988.<br>Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves 125-127).
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Book chapters on the topic "Bounded holomorphic function"

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Koranyi, A. "Holomorphic and Harmonic Functions on Bounded Symmetric Domains." In Geometry of Homogeneous Bounded Domains. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-11060-3_4.

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deLaubenfels, Ralph. "Unbounded holomorphic functional calculus for operators with polynomially bounded resolvents." In Existence Families, Functional Calculi and Evolution Equations. Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/bfb0073423.

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Adachi, Masanori. "On a Hyperconvex Manifold Without Non-constant Bounded Holomorphic Functions." In Springer Proceedings in Mathematics & Statistics. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-1672-2_1.

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Mundalia, Mridula, and Sivaprasad Kumar Shanmugam. "Coefficient Bounds for a Unified Class of Holomorphic Functions." In Springer Proceedings in Mathematics & Statistics. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-1153-0_17.

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Arazy, Jonathan, and Harald Upmeier. "Minimal and Maximal Invariant Spaces of Holomorphic Functions on Bounded Symmetric Domains." In A Panorama of Modern Operator Theory and Related Topics. Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0221-5_2.

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Siu, Yum-Tong. "Strong Rigidity for Kähler Manifolds and the Construction of Bounded Holomorphic Functions." In Discrete Groups in Geometry and Analysis. Birkhäuser Boston, 1987. http://dx.doi.org/10.1007/978-1-4899-6664-3_5.

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"Chapter V–Spaces of Bounded Holomorphic Functions." In Saks Spaces and Applications to Functional Analysis. Elsevier, 1987. http://dx.doi.org/10.1016/s0304-0208(08)72321-1.

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"Holomorphy and bounded in vertical strips". У Lectures on Automorphic 𝐿-functions. American Mathematical Society, 2009. http://dx.doi.org/10.1090/fim/020/28.

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Mujica, Jorge. "Linearization of Holomorphic Mappings of Bounded Type." In Progress in Functional Analysis, Proceedings of the International Functional Analysis Meeting on the Occasion of the 60th Birthday of Professor M. Valdivia. Elsevier, 1992. http://dx.doi.org/10.1016/s0304-0208(08)70316-5.

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"Bounded Bases in 𝐻²(𝐵)". У New Constructions of Functions Holomorphic in the Unit Ball of 𝐶ⁿ. American Mathematical Society, 1986. http://dx.doi.org/10.1090/cbms/063/20.

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Conference papers on the topic "Bounded holomorphic function"

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MATSUSHIMA, TOSHIO. "BOUNDED HOLOMORPHIC FUNCTION WITH SOME BOUNDARY BEHAVIOR." In Proceedings of the 3rd ISAAC Congress. World Scientific Publishing Company, 2003. http://dx.doi.org/10.1142/9789812794253_0022.

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