Relevant bibliographies by topics / Spherical maximal functions

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  1. Journal articles

Academic literature on the topic 'Spherical maximal functions'

Author: Grafiati
Published: 6 September 2023

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Journal articles on the topic "Spherical maximal functions"

1

Lacey, Michael T. "Sparse bounds for spherical maximal functions." Journal d'Analyse Mathématique 139, no. 2 (2019): 613–35. http://dx.doi.org/10.1007/s11854-019-0070-2.

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2

Seeger, Andreas, Stephen Wainger, and James Wright. "Spherical Maximal Operators on Radial Functions." Mathematische Nachrichten 187, no. 1 (1997): 241–65. http://dx.doi.org/10.1002/mana.19971870112.

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3

Duoandikoetxea, Javier, Adela Moyua, and Osane Oruetxebarria. "The spherical maximal operator on radial functions." Journal of Mathematical Analysis and Applications 387, no. 2 (2012): 655–66. http://dx.doi.org/10.1016/j.jmaa.2011.09.028.

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4

Kajima, Yasuhiro. "Spherical functions on orthogonal groups." Nagoya Mathematical Journal 141 (March 1996): 157–82. http://dx.doi.org/10.1017/s0027763000005572.

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Let G be a p-adic connected reductive algebraic group and K a maximal compact subgroup of G. In [4], Casselman obtained the explicit formula of zonal spherical functions on G with respect to K on the assumption that K is special. It is known (Bruhat and Tits [3]) that the affine root system of algebraic group which has good but not special maximal compact subgroup is A1 C2, or Bn (n > 3), and all Bn-types can be realized by orthogonal groups. Here the assumption “good” is necessary for the Satake’s theory of spherical functions.
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5

Kesler, Robert, Michael T. Lacey, and Darío Mena. "Sparse bounds for the discrete spherical maximal functions." Pure and Applied Analysis 2, no. 1 (2020): 75–92. http://dx.doi.org/10.2140/paa.2020.2.75.

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6

Gauthier, P. M., and J. Xiao. "Functions of bounded expansion: normal and Bloch functions." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 66, no. 2 (1999): 168–88. http://dx.doi.org/10.1017/s144678870003929x.

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AbstractNormal functions and Bloch functions are respectively functions of bounded spherical expansion and bounded Euclidean expansion. In this paper we discuss the behaviour of normal functions and of Bloch functions in terms of the maximal ideal space of H∞, the Bergman projection and the Ahlfors-Shimizu characteristic.
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7

Roos, Joris, and Andreas Seeger. "Spherical maximal functions and fractal dimensions of dilation sets." American Journal of Mathematics 145, no. 4 (2023): 1077–110. http://dx.doi.org/10.1353/ajm.2023.a902955.

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abstract: For the spherical mean operators $\scr{A}_t$ in $\Bbb{R}^d$, $d\ge 2$, we consider the maximal functions $M_Ef=\sup_{t\in E}|\scr{A}_t f|$, with dilation sets $E\subset [1,2]$. In this paper we give a surprising characterization of the closed convex sets which can occur as closure of the sharp $L^p$ improving region of $M_E$ for some $E$. This region depends on the Minkowski dimension of $E$, but also other properties of the fractal geometry such as the Assouad spectrum of $E$ and subsets of $E$. A key ingredient is an essentially sharp result on $M_E$ for a class of sets called (qua
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8

Anderson, Theresa C., and Eyvindur Ari Palsson. "Bounds for discrete multilinear spherical maximal functions in higher dimensions." Bulletin of the London Mathematical Society 53, no. 3 (2021): 855–60. http://dx.doi.org/10.1112/blms.12465.

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9

Dosidis, Georgios, and Loukas Grafakos. "On families between the Hardy–Littlewood and spherical maximal functions." Arkiv för Matematik 59, no. 2 (2021): 323–43. http://dx.doi.org/10.4310/arkiv.2021.v59.n2.a4.

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10

Leckband, Mark. "A note on the spherical maximal operator for radial functions." Proceedings of the American Mathematical Society 100, no. 4 (1987): 635. http://dx.doi.org/10.1090/s0002-9939-1987-0894429-9.

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