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Anisotropic Weak Hardy Spaces and Wavelets

Published:2012 Issue: Volume:2012 Page:1-17
ISSN:0972-6802
Container-title:Journal of Function Spaces and Applications
language:en
Short-container-title:Journal of Function Spaces and Applications

Author:

Barrios B.¹,Betancor J. J.²

Affiliation:

1. Departamento de Matemáticas, Universidad Autónoma de Madrid and Instituto de Matemáticas (ICMAT, CSIC-UAM, UC3M, UCM), C/Nicolás Cabrera 15, 28049 Madrid, Spain

2. Departamento de Análisis Matemático, Universidad de la Laguna, Campus de Anchieta, Avenida Astrofísico Francisco Sánchez s/n, Santa Cruz de Tenerife, 38271 La Laguna, Spain

Abstract

We characterize the anisotropic weak Hardy spacesHAp,∞(ℝn)associated with an expansive matrixAby using square functions involving wavelets coefficients.

Funder

Ministerio de Ciencia e Innovación

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2012/809121.pdf

Reference13 articles.

1. Atomic and molecular decompositions of anisotropic Besov spaces

2. Atomic and molecular decompositions of anisotropic Triebel-Lizorkin spaces

3. Anisotropic Triebel-Lizorkin spaces with doubling measures

4. Duality and interpolation of anisotropic Triebel–Lizorkin spaces

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1. Fourier transform of variable anisotropic Hardy spaces with applications to Hardy-Littlewood inequalities;Mathematical Inequalities & Applications;2022

2. Maximal Function Characterizations of Hardy Spaces on Rn with Pointwise Variable Anisotropy;Mathematics;2021-12-15

3. Molecular Characterizations of Anisotropic Mixed-Norm Hardy Spaces and Their Applications;Mathematics;2021-09-09

4. Molecular characterizations of variable anisotropic Hardy spaces with applications to boundedness of Calderón–Zygmund operators;Banach Journal of Mathematical Analysis;2020-10-21

5. A Survey on Some Anisotropic Hardy-Type Function Spaces;Analysis in Theory and Applications;2020-06

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