Wavelet characterization and modular inequalities for weighted Lebesgue spaces with variable exponent

DOI10.5186/aasfm.2015.4032zbMath1339.46027OpenAlexW4243746808MaRDI QIDQ3194664

Eiichi Nakai, Yoshihiro Sawano, Mitsuo Izuki

Publication date: 20 October 2015

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5186/aasfm.2015.4032

zbMATH Keywords

waveletMuckenhoupt weightvariable exponentmodular inequalityweakly positive kernel

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35)

Related Items

Extrapolation to product Herz spaces and some applications ⋮ Boundedness of fractional integrals on weighted Herz spaces with variable exponent ⋮ Some mudular inequalities in Lebesgue spaces with variable exponent ⋮ Extrapolation, John-Nirenberg inequalities and characterizations of BMO in terms of Morrey type spaces ⋮ Wavelet characterization of local Muckenhoupt weighted Lebesgue spaces with variable exponent ⋮ Extrapolation for weighted product Morrey spaces and some applications ⋮ Biographical Sketch of Professor Eiichi Nakai ⋮ Wavelet characterization of local Muckenhoupt weighted Sobolev spaces with variable exponents ⋮ Unnamed Item ⋮ On a dual property of the maximal operator on weighted variable 𝐿^{𝑝} spaces ⋮ Boundedness of vector valued bilinear Calderón-Zygmund operators on products of weighted Herz-Morrey spaces with variable exponents ⋮ Commutators of the fractional Hardy operator on weighted variable Herz-Morrey spaces ⋮ Wavelet bases in Banach function spaces ⋮ Some modular inequalities in Lebesgue spaces with variable exponent on the complex plane ⋮ Wavelet characterizations of Musielak-Orlicz Hardy spaces ⋮ Algebra of convolution type operators with continuous data on Banach function spaces ⋮ Two weighted Herz spaces with variable exponents ⋮ Boundedness of vector-valued sublinear operators on weighted Herz-Morrey spaces with variable exponents ⋮ Weighted norm inequality for bilinear Calderón-Zygmund operators on Herz-Morrey spaces with variable exponents ⋮ Atomic and wavelet characterization of Musielak-Orlicz Hardy spaces for generalized Orlicz functions ⋮ Equivalent characterizations of Hardy spaces with variable exponent via wavelets ⋮ Estimates for Littlewood-Paley operators on ball Campanato-type function spaces ⋮ Commutators of multilinear Calderón-Zygmund operator on weighted Herz-Morrey spaces with variable exponents

Cites Work

• 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
• Unnamed Item
• On an estimate of Calderón-Zygmund operators by dyadic positive operators
• Weighted norm inequalities for the maximal operator on variable Lebesgue spaces
• Variable Lebesgue spaces. Foundations and harmonic analysis
• Variable Lebesgue norm estimates for BMO functions. II
• The fractional maximal operator and fractional integrals on variable \(L^p\) spaces
• Necessary and sufficient conditions for the boundedness of genuine singular integral operators in local Morrey-type spaces
• Multiresolution approximations and wavelet bases of weighted \(L^p\) spaces
• Classical Banach spaces. 1: Sequence spaces. 2. Function spaces.
• Maximal functions on Musielak--Orlicz spaces and generalized Lebesgue spaces
• On modular inequalities in variable \(L^p\) spaces
• The maximal operator on weighted variable Lebesgue spaces
• Orthonormal bases of compactly supported wavelets
• Ondelettes et poids de Muckenhoupt
• 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
• Some Maximal Inequalities
• Weighted Norm Inequalities for the Hardy Maximal Function

This page was built for publication: Wavelet characterization and modular inequalities for weighted Lebesgue spaces with variable exponent