On maximal and potential operators with rough kernels in variable exponent spaces

DOI10.4171/RLM/736zbMath1344.42016MaRDI QIDQ530637

Humberto Rafeiro, Stefan G. Samko

Publication date: 10 August 2016

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

zbMATH Keywords

maximal operatorpotential operatorsfractional maximal operatorrough kernelsfractional integral operatorsvariable exponent Lebesgue spacesvariable exponent Morrey spaces

Mathematics Subject Classification ID

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 (5)

Norm inequalities on variable exponent vanishing Morrey type spaces for the rough singular type integral operators ⋮ Maximal operator with rough kernel in variable Musielak-Morrey-Orlicz type spaces, variable Herz spaces and grand variable Lebesgue spaces ⋮ Professor Stefan G. Samko research: a decade retrospective ⋮ On the commutator of Marcinkiewicz integrals with rough kernels in variable Morrey-type spaces ⋮ Weighted strong laws of large numbers on variable exponent vector-valued Lebesgue spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Variable Lebesgue spaces. Foundations and harmonic analysis
• 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
• On time flows of minimizers of general convex functionals of linear growth with variable exponent in BV space and stability of pseudosolutions
• On stationary thermo-rheological viscous flows
• Regularity of minima: an invitation to the dark side of the calculus of variations.
• New diffusion models in image processing
• Regularity results for electrorheological fluids: The stationary case
• Regularity results for stationary electro-rheological fluids
• Sublinear operators with rough kernel generated by Calderón-Zygmund operators and their commutators on generalized local Morrey spaces
• On a non-linear model for image noise reduction
• Maximal operators with rough kernels on product domains
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Weighted Norm Inequalities for Fractional Integral Operators With Rough Kernel
• Weighted Norm Inequalities for Homogeneous Singular Integrals
• Convolution and potential type operators inL^p(x)(Rⁿ)
• Some integral and maximal operators related to starlike sets
• Weak type bounds for a class of rough operators with power weights
• Weighted Norm Inequalities for Fractional Integrals
• Morrey-Campanato Spaces: an Overview
• On a Class of Singular Integral Operators With Rough Kernels
• A class of maximal operators with rough kernel on product spaces

This page was built for publication: On maximal and potential operators with rough kernels in variable exponent spaces