Sobolev-type inequalities on variable exponent Morrey spaces of an integral form

DOI10.1007/s11587-021-00635-8zbMath1501.46029OpenAlexW3197378407MaRDI QIDQ2147962

Takao Ohno, Tetsu Shimomura

Publication date: 21 June 2022

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-021-00635-8

zbMATH Keywords

maximal functionsSobolev's inequalityMorrey spacesRiesz potentialvariable exponent

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) Maximal functions, Littlewood-Paley theory (42B25)

Related Items (2)

Generalized fractional integral operators on variable exponent Morrey spaces of an integral form ⋮ Sobolev-type inequalities on Musielak-Orlicz-Morrey spaces of an integral form

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Maximal functions, Riesz potentials and Sobolev embeddings on Musielak-Orlicz-Morrey spaces of variable exponent in \(\mathbb{R}^n\)
• 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
• Lebesgue and Sobolev spaces with variable exponents
• Continuity properties of Riesz potentials of Orlicz functions
• The fractional maximal operator and fractional integrals on variable \(L^p\) spaces
• Sobolev embeddings for Riesz potentials of functions in Morrey spaces of variable exponent
• An elementary proof of Sobolev embeddings for Riesz potentials of functions in Morrey spaces \(L^{1,\nu,\beta}(G)\)
• A note on Riesz potentials
• Boundedness of maximal operators and Sobolev's inequality on Musielak-Orlicz-Morrey spaces
• On the theory of \({\mathcal L}_{p, \lambda}\) spaces
• Weighted Sobolev theorem in Lebesgue spaces with variable exponent
• Sobolev's inequality for Riesz potentials of functions in Morrey spaces of integral form
• Riesz potential and Sobolev embeddings on generalized Lebesgue and Sobolev spacesLp(·) andWk,p(·)
• Boundedness of the maximal, potential and singular operators in the generalized variable exponent Morrey spaces
• Riesz potentials and Sobolev embeddings on Morrey spaces of variable exponents
• Generalized fractional integral operators and fractional maximal operators in the framework of Morrey spaces
• Sobolev embeddings for Riesz potential space of variable exponent
• On Certain Convolution Inequalities
• Maximal function on generalized Lebesgue spaces L^p(⋅)
• Hardy-Littlewood maximal operator on L^p(x) (ℝ)
• Hardy-Littlewood Maximal Operator, Singular Integral Operators and the Riesz Potentials on Generalized Morrey Spaces
• Continuity properties for Riesz potentials of functions in Morrey spaces of variable exponent
• On a class of sublinear operators in variable exponent Morrey-type spaces

This page was built for publication: Sobolev-type inequalities on variable exponent Morrey spaces of an integral form