Weighted Adams type theorem for the Riesz fractional integral in generalized Morrey space

DOI10.1515/fca-2016-0052zbMath1354.46030OpenAlexW2511700153MaRDI QIDQ309304

Natasha Samko, Evgeniya Burtseva

Publication date: 7 September 2016

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fca-2016-0052

zbMATH Keywords

generalized Morrey spaceBary-Stechkin classesOrlicz-Morrey spaceweighted Hardy inequalitiesweighted Hardy operatorsweighted Riesz fractional integration operator

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) Function spaces arising in harmonic analysis (42B35) Linear operators on function spaces (general) (47B38)

Related Items

Approximation in generalized Morrey spaces, On weighted generalized fractional and Hardy-type operators acting between Morrey-type spaces, Multi-dimensional Hardy type inequalities in Hölder spaces, Embeddings of local generalized Morrey spaces between weighted Lebesgue spaces, Mixed norm spaces of analytic functions as spaces of generalized fractional derivatives of functions in Hardy type spaces, Singular integral operators in generalized Morrey spaces on curves in the complex plane, Hardy-Littlewood, Bessel-Riesz, and fractional integral operators in anisotropic Morrey and Campanato spaces, On the invariance of certain vanishing subspaces of Morrey spaces with respect to some classical operators

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