Results 51 to 60 of about 183 (108)
Pointwise Ergodic Theorems for Radial Averages on the Heisenberg Group [PDF]
, 1997 LetH=Hn=Cn×R denote the Heisenberg group, and letσrdenote the normalized Lebesgue measure on the sphere {(z, 0):|z|=r}. Let (X, B, m) be a standard Borel probability space on whichHacts measurably and ergodically by measure preserving transformations ...
Nevo, Amos, Thangavelu, Sundaram
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Analytic mappings of the unit disk which almost preserve hyperbolic area
Proceedings of the London Mathematical Society, Volume 129, Issue 5, November 2024.Abstract In this paper, we study analytic self‐maps of the unit disk which distort hyperbolic areas of large hyperbolic disks by a bounded amount. We give a number of characterizations involving angular derivatives, Lipschitz extensions, Möbius distortion, the distribution of critical points and Aleksandrov–Clark measures.
Oleg Ivrii, Artur Nicolau
wiley +1 more source
Approximation Theory and Harmonic Analysis on Spheres and Balls / [PDF]
, 2013 This monograph records progress in approximation theory and harmonic analysis on balls and spheres, and presents contemporary material that will be useful to analysts in this area.
Dai, Feng, +2 more
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Mixed‐norm estimates via the helicoidal method
Mathematika, Volume 70, Issue 3, July 2024.Abstract We prove multiple vector‐valued and mixed‐norm estimates for multilinear operators in Rd$\mathbb {R}^d$, more precisely for multilinear operators Tk$T_k$ associated to a symbol singular along a k$k$‐dimensional space and for multilinear variants of the Hardy‐Littlewood maximal function.
Cristina Benea, Camil Muscalu
wiley +1 more source
New estimates of Rychkov's universal extension operator for Lipschitz domains and some applications
Mathematische Nachrichten, Volume 297, Issue 4, Page 1407-1443, April 2024.Abstract Given a bounded Lipschitz domain Ω⊂Rn$\Omega \subset \mathbb {R}^n$, Rychkov showed that there is a linear extension operator E$\mathcal {E}$ for Ω$\Omega$, which is bounded in Besov and Triebel‐Lizorkin spaces. In this paper, we introduce some new estimates for the extension operator E$\mathcal {E}$ and give some applications.
Ziming Shi, Liding Yao
wiley +1 more source
Global minimizers of a large class of anisotropic attractive‐repulsive interaction energies in 2D
Communications on Pure and Applied Mathematics, Volume 77, Issue 2, Page 1353-1404, February 2024.Abstract We study a large family of Riesz‐type singular interaction potentials with anisotropy in two dimensions. Their associated global energy minimizers are given by explicit formulas whose supports are determined by ellipses under certain assumptions.
José A. Carrillo, Ruiwen Shu
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Two contributions to the representation theory of algebraic groups [PDF]
, 2002 Let V be a nite dimensional complex vector space. A subset X in V has the separation property if the following holds: For any pair l, m of linearly independent linear functions on V there is a point x in X such that l(x) = 0 and m(x) 6= 0.
Baur, Karin
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Musielak-Orlicz-Sobolev spaces on metric measure spaces [PDF]
, 2015 summary:Our aim in this paper is to study Musielak-Orlicz-Sobolev spaces on metric measure spaces. We consider a Hajłasz-type condition and a Newtonian condition.
Ohno, Takao +3 more
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Maximal theory and the space BMO [PDF]
, 1997 Bu tezin, veri tabanı üzerinden yayınlanma izni bulunmamaktadır. Yayınlanma izni olmayan tezlerin basılı kopyalarına Üniversite kütüphaneniz aracılığıyla (TÜBESS üzerinden) erişebilirsiniz.1 ÖZET Yüksek Lisans Tezi MAKSİMAL TEORİ VE BMO UZAYI Ahmet ...
Ergülen, Ahmet
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Maximal theorems and Calderón-Zygmund type decompositions forthe fractional maximal function [PDF]
, 2005 A very significant role in the estimation of different operators in analysis is played by the Hardy-Littlewood maximal function. There are a lot of papers dedicated to the study of properties of it, its variants, and their applications.
Kuznetsov, Evgeny
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