Wavelet characterization of local Muckenhoupt weighted Lebesgue spaces with variable exponent

DOI10.1016/j.na.2020.111930zbMath1446.42035arXiv1912.03400OpenAlexW3021635194MaRDI QIDQ2188541

Mitsuo Izuki, Toru Nogayama, Yoshihiro Sawano, Takahiro Noi

Publication date: 11 June 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.03400

zbMATH Keywords

waveletvariable exponentmodular inequalitylocal Muckenhoupt weight

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Function spaces arising in harmonic analysis (42B35)

Related Items (2)

Weighted estimates for square functions associated with operators ⋮ Wavelet characterization of local Muckenhoupt weighted Sobolev spaces with variable exponents

Cites Work

• Weighted norm inequalities for the maximal operator on variable Lebesgue spaces
• Variable Lebesgue spaces. Foundations and harmonic analysis
• Weights, extrapolation and the theory of Rubio de Francia.
• Lebesgue and Sobolev spaces with variable exponents
• Theory of Besov spaces
• Optimal domain and integral extension of operators, acting in function spaces
• Local Muckenhoupt class for variable exponents
• \(H^p\) spaces of several variables
• The maximal operator on weighted variable Lebesgue spaces
• The A_2 theorem: Remarks and complements
• Wavelet characterization and modular inequalities for weighted Lebesgue spaces with variable exponent
• Orthonormal bases of compactly supported wavelets
• Ondelettes et poids de Muckenhoupt
• Wavelet bases in rearrangement invariant function spaces
• Maximal function on generalized Lebesgue spaces L^p(⋅)
• A Simple Proof of the A2 Conjecture
• The Cauchy Singular Integral Operator on Weighted Variable Lebesgue Spaces
• Hardy spaces for ball quasi-Banach function spaces
• Maximal operator on Orlicz spaces of two variable exponents over unbounded quasi-metric measure spaces
• Annihilator, Completeness and Convergence of Wavelet System
• Wavelet characterization of weighted spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Wavelet characterization of local Muckenhoupt weighted Lebesgue spaces with variable exponent