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Sobolev-type inequalities on variable exponent Morrey spaces of an integral form (Q2147962)

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

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scholarly article

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

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Tetsu Shimomura

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Ricerche di Matematica

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publication date

21 June 2022

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zbMATH Keywords

Riesz potential

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maximal functions

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Sobolev's inequality

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Morrey spaces

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variable exponent

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s11587-021-00635-8

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A note on Riesz potentials

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The fractional maximal operator and fractional integrals on variable \(L^p\) spaces

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Variable Lebesgue spaces. Foundations and harmonic analysis

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Maximal function on generalized Lebesgue spaces L^p(⋅)

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Riesz potential and Sobolev embeddings on generalized Lebesgue and Sobolev spacesLp(·) andWk,p(·)

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Lebesgue and Sobolev spaces with variable exponents

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Sobolev embeddings for Riesz potential space of variable exponent

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Boundedness of the maximal, potential and singular operators in the generalized variable exponent Morrey spaces

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Boundedness of maximal, potential type, and singular integral operators in the generalized variable exponent Morrey type spaces

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On Certain Convolution Inequalities

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Integral operators in non-standard function spaces. Volume 1: Variable exponent Lebesgue and amalgam spaces

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Integral operators in non-standard function spaces. Volume 2: Variable exponent Hölder, Morrey-Campanato and Grand spaces

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Boundedness of maximal operators and Sobolev's inequality on Musielak-Orlicz-Morrey spaces

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An elementary proof of Sobolev embeddings for Riesz potentials of functions in Morrey spaces \(L^{1,\nu,\beta}(G)\)

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Riesz potentials and Sobolev embeddings on Morrey spaces of variable exponents

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Maximal functions, Riesz potentials and Sobolev embeddings on Musielak-Orlicz-Morrey spaces of variable exponent in \(\mathbb{R}^n\)

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Sobolev embeddings for Riesz potentials of functions in Morrey spaces of variable exponent

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Continuity properties for Riesz potentials of functions in Morrey spaces of variable exponent

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Continuity properties of Riesz potentials of Orlicz functions

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Sobolev's inequality for Riesz potentials of functions in Morrey spaces of integral form

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Hardy-Littlewood Maximal Operator, Singular Integral Operators and the Riesz Potentials on Generalized Morrey Spaces

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Hardy-Littlewood maximal operator on L^p(x) (ℝ)

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On the theory of \({\mathcal L}_{p, \lambda}\) spaces

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On a class of sublinear operators in variable exponent Morrey-type spaces

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Weighted Sobolev theorem in Lebesgue spaces with variable exponent

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Generalized fractional integral operators and fractional maximal operators in the framework of Morrey spaces

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Identifiers

zbMATH Open document ID

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10.1007/s11587-021-00635-8

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2147962

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