Maximal and Riesz potential operators on Musielak-Orlicz spaces over metric measure spaces
type: Item
instance of: scholarly article
title: Maximal and Riesz potential operators on Musielak-Orlicz spaces over metric measure spaces
zbMATH Open document ID: 1401.42020
author: Takao Ohno
author: Tetsu Shimomura
published in: Integral Equations and Operator Theory
publication date: 2018-10-26T00:00:00Z
Mathematics Subject Classification ID: 42B25
Mathematics Subject Classification ID: 42B20
Mathematics Subject Classification ID: 42B35
zbMATH DE Number: 6965989
zbMATH Keywords: maximal functions
zbMATH Keywords: Sobolev's inequality
zbMATH Keywords: metric measure space
zbMATH Keywords: lower Ahlfors regular
MaRDI profile type: Publication
full work available at URL: s00020-018-2484-0
OpenAlex ID: W2890271868
cites work: Regularity results for stationary electro-rheological fluids
cites work: Non-autonomous functionals, borderline cases and related function classes
cites work: Harnack inequalities for double phase functionals
cites work: Nonlinear potential theory on metric spaces
cites work: The fractional maximal operator and fractional integrals on variable \(L^p\) spaces
cites work: Variable Exponent, Linear Growth Functionals in Image Restoration
cites work: Eigenvalues for double phase variational integrals
cites work: Regularity for double phase variational problems
cites work: Bounded minimisers of double phase variational integrals
cites work: Variable Lebesgue spaces. Foundations and harmonic analysis
cites work: Riesz potential and Sobolev embeddings on generalized Lebesgue and Sobolev spacesLp(·) andWk,p(·)
cites work: Lebesgue and Sobolev spaces with variable exponents
cites work: Sobolev embeddings for Riesz potential space of variable exponent
cites work: Integrability of maximal functions and Riesz potentials in Orlicz spaces of variable exponent
cites work: Sobolev met Poincaré
cites work: Local higher integrability of the gradient of a quasiminimizer under generalized Orlicz growth conditions
cites work: Critical variable exponent functionals in image restoration
cites work: Sobolev embeddings in metric measure spaces with variable dimension
cites work: The maximal operator on generalized Orlicz spaces
cites work: On Certain Convolution Inequalities
cites work: Lectures on analysis on metric spaces
cites work: Trudinger's inequality and continuity for Riesz potential of functions in Orlicz spaces of two variable exponents over nondoubling measure spaces
cites work: Boundedness of maximal operators and Sobolev's inequality on Musielak-Orlicz-Morrey spaces
cites work: Hardy's inequality in Musielak-Orlicz-Sobolev spaces
cites work: Boundedness of the maximal operator on Musielak-Orlicz-Morrey spaces
cites work: Some norm inequalities in Musielak-Orlicz spaces
cites work: Sobolev inequalities for Musielak-Orlicz spaces
cites work: Sobolev's inequalities and vanishing integrability for Riesz potentials of functions in the generalized Lebesgue space \(L^{p(\cdot)}(\log L)^{q(\cdot)}\)
cites work: Sobolev's inequality for Riesz potentials of functions in non-doubling Morrey spaces
cites work: Orlicz spaces and modular spaces
cites work: Q4212805
cites work: Musielak-Orlicz-Sobolev spaces on metric measure spaces
cites work: Trudinger's inequality and continuity for Riesz potentials of functions in Musielak-Orlicz-Morrey spaces on metric measure spaces
cites work: Sobolev inequalities for Riesz potentials of functions in \(L^{p(\cdot)}\) over nondoubling measure spaces
cites work: Musielak-Orlicz-Sobolev spaces with zero boundary values on metric measure spaces
cites work: Electrorheological fluids: modeling and mathematical theory
cites work: Sharp estimates of the modified Hardy-Littlewood maximal operator on the nonhomogeneous space via covering lemmas
cites work: Sobolev embeddings for Riesz potentials of functions in non-doubling Morrey spaces of variable exponents
cites work: Sobolev embeddings for Riesz potentials of functions in Musielak–Orlicz–Morrey spaces over non-doubling measure spaces
cites work: Weak type \(L^ 1\) estimates for maximal functions on non-compact symmetric spaces
cites work: Outer measures and weak type \((1,1)\) estimates of Hardy-Littlewood maximal operators
Wikidata QID: Q129218338
DOI: 10.1007/S00020-018-2484-0
Recommended article: Q3587668
Recommended article: Boundedness of the maximal operator on Musielak-Orlicz-Morrey spaces
Recommended article: Trudinger's inequality for Riesz potentials on Musielak-Orlicz spaces over metric measure spaces
Recommended article: Fractional maximal operator on Musielak-Orlicz spaces over unbounded quasi-metric measure spaces
Recommended article: Maximal functions on Musielak--Orlicz spaces and generalized Lebesgue spaces
Recommended article: Boundedness of maximal operators and Sobolev's inequality on Musielak-Orlicz-Morrey spaces
Recommended article: Gagliardo--Nirenberg inequality for generalized Riesz potentials of functions in Musielak--Orlicz spaces over quasi-metric measure spaces
Recommended article: Sobolev’s Inequality for Riesz Potentials of Functions in Musielak–Orlicz–Morrey Spaces Over Non-doubling Metric Measure Spaces
Recommended article: Maximal operator on Orlicz spaces of two variable exponents over unbounded quasi-metric measure spaces
Recommended article: Generalized maximal functions and related operators on weighted Musielak-Orlicz spaces
description: scientific article; zbMATH DE number 6965989