New characterizations of Morrey spaces and their preduals with applications to fractional Laplace equations

DOI10.1016/j.jde.2018.10.020OpenAlexW2897523250WikidataQ129044137 ScholiaQ129044137MaRDI QIDQ1720297

Wen Yuan, Suqing Wu, Da Chun Yang, Li Guang Liu

Publication date: 8 February 2019

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2018.10.020

zbMATH Keywords

capacityMorrey spaceRiesz potentialfractional Laplace equation

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Potentials and capacities, extremal length and related notions in higher dimensions (31B15) Potential operators (47G40)

Related Items (6)

Nontriviality of Riesz–Morrey spaces ⋮ Boundedness of certain bilinear operators on vanishing generalized Morrey spaces ⋮ Fractional integral operator with rough kernel on various closed subspaces of Morrey spaces ⋮ Bourgain-Morrey spaces mixed with structure of Besov spaces ⋮ Commutators on weighted Morrey spaces on spaces of homogeneous type ⋮ Boundedness of Bilinear Fractional Integral Operators on Vanishing Generalized Morrey Spaces

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