Boundedness of generalized Riesz potentials of functions in Morrey spaces L^(1,φ;κ)(G) over non-doubling measure spaces

DOI10.7153/mia-2019-22-41zbMath1431.46015OpenAlexW2927978849MaRDI QIDQ5226571

Yoshihiro Sawano, Tetsu Shimomura

Publication date: 1 August 2019

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2019-22-41

zbMATH Keywords

Sobolev embeddingsOrlicz spacefractional integralMorrey spaceRiesz potentialnon-doubling measure

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) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractional derivatives and integrals (26A33) Potentials and capacities, extremal length and related notions in higher dimensions (31B15) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)

Related Items (1)

Generalized Riesz potentials of functions in Morrey spaces \(L^{(1, \varphi;\kappa)}(G)\) over non-doubling measure spaces

Cites Work

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