Riesz potential operator in continual variable exponents Herz spaces

DOI10.1002/mana.201300270zbMath1325.46034OpenAlexW2102068815MaRDI QIDQ4982611

Humberto Rafeiro, Stefan G. Samko

Publication date: 9 April 2015

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201300270

zbMATH Keywords

sublinear operatorsHerz spacesRiesz potential operatorvariable exponent 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) Linear operators on function spaces (general) (47B38)

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Maximal operator with rough kernel in variable Musielak-Morrey-Orlicz type spaces, variable Herz spaces and grand variable Lebesgue spaces ⋮ Boundedness of Riesz-type potential operators on variable exponent Herz-Morrey spaces ⋮ Semilinear parabolic equations in Herz spaces ⋮ The Musielak-Orlicz Herz spaces ⋮ Grand Herz-Morrey spaces with variable exponent ⋮ Weak Type Estimate of Singular Integral Operators on Variable Weak Herz-Type Hardy Spaces ⋮ Professor Stefan G. Samko research: a decade retrospective ⋮ Nemytskii operator in Riesz-bounded variation spaces with variable exponent ⋮ On \(n\)-dimensional fractional Hardy operators and commutators in variable Herz-type spaces ⋮ Herz spaces meet Morrey type spaces and complementary Morrey type spaces ⋮ Hardy spaces associated to critical Herz spaces with variable exponent ⋮ Central Calderón-Zygmund operators on Herz-type Hardy spaces of variable smoothness and integrability ⋮ Boundedness of the Marcinkiewicz integral on grand variable Herz spaces ⋮ On a class of sublinear operators in variable exponent Morrey-type spaces ⋮ Coincidence of variable exponent Herz spaces with variable exponent Morrey type spaces and boundedness of sublinear operators in these spaces

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