On the boundedness of Marcinkiewicz integrals on continual variable exponent Herz spaces

DOI10.1515/gmj-2017-0050zbMath1427.42020OpenAlexW2773389256MaRDI QIDQ2418543

Muhammad Asad Zaighum, Humberto Rafeiro, Alexander Meskhi

Publication date: 27 May 2019

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2017-0050

zbMATH Keywords

Herz spacesMarcinkiewicz integralvariable exponent spaces

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25)

Related Items (4)

Mixed-norm Herz spaces and their applications in related Hardy spaces ⋮ Grand Herz-Morrey spaces with variable exponent ⋮ Weak Type Estimate of Singular Integral Operators on Variable Weak Herz-Type Hardy Spaces ⋮ Herz spaces meet Morrey type spaces and complementary Morrey type spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Boundedness of fractional integrals on weighted Herz spaces with variable exponent
• Variable exponent Herz spaces
• Erratum to ``Variable exponent Herz spaces
• Hardy spaces with variable exponents and generalized Campanato spaces
• Maximal, potential and singular type operators on Herz spaces with variable exponents
• Variable Lebesgue spaces. Foundations and harmonic analysis
• Boundedness of maximal, potential type, and singular integral operators in the generalized variable exponent Morrey type spaces
• Integral operators in non-standard function spaces. Volume 1: Variable exponent Lebesgue and amalgam spaces
• Integral operators in non-standard function spaces. Volume 2: Variable exponent Hölder, Morrey-Campanato and Grand spaces
• Boundedness of sublinear operators on Herz spaces with variable exponent and application to wavelet characterization
• Variable exponent Campanato spaces
• Lebesgue and Sobolev spaces with variable exponents
• The fractional maximal operator and fractional integrals on variable \(L^p\) spaces
• Boundedness of maximal operators and potential operators on Carleson curves in Lebesgue spaces with variable exponent
• Electrorheological fluids: modeling and mathematical theory
• Notes on singular integrals on some inhomogeneous Herz spaces
• Boundedness of some sublinear operators on Herz spaces
• Maximal, potential and singular operators in the local ``complementary variable exponent Morrey type spaces
• Boundedness of the maximal, potential and singular operators in the generalized variable exponent Morrey spaces
• On the Functions of Littlewood-Paley, Lusin, and Marcinkiewicz
• Lipschitz Spaces, Littlewood-Paley Spaces, and Convoluteurs
• Convolution and potential type operators inL^p(x)(Rⁿ)
• Bilinear operators on Herz-type Hardy spaces
• Weighted boundedness for a class of rough Marcinkiewicz integrals
• On a progress in the theory of lebesgue spaces with variable exponent: maximal and singular operators
• Interpolation of Herz Spaces and Applications
• Morrey-Campanato Spaces: an Overview
• Maximal functions and potentials in variable exponent Morrey spaces with non-doubling measure
• Herz spaces and summability of Fourier transforms
• Weighted Norm Inequalities for Singular and Fractional Integrals
• Temperatures, Riesz Potentials, and the Lipschitz Spaces of Herz

This page was built for publication: On the boundedness of Marcinkiewicz integrals on continual variable exponent Herz spaces