Boundedness of the anisotropic Riesz potential in anisotropic local Morrey-type spaces

DOI10.1080/17476933.2011.575465zbMath1260.42008OpenAlexW2157939293MaRDI QIDQ4908707

Ali Akbulut, Shamsiya A. Muradova, Vagif S. Guliyev

Publication date: 6 March 2013

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2011.575465

zbMATH Keywords

Hardy operator on the cone of monotonic functionsanisotropic Riesz potentialanisotropic local and global Morrey-type spaces

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)

Related Items (5)

Anisotropic fractional maximal commutators with BMO functions on anisotropic Morrey-type spaces ⋮ Decompositions of local Morrey-type spaces ⋮ Parabolic fractional maximal operator in modified parabolic Morrey spaces ⋮ Sharp constants for multilinear Hausdorff operators on local Morrey-type spaces ⋮ Hardy-Littlewood, Bessel-Riesz, and fractional integral operators in anisotropic Morrey and Campanato spaces

Cites Work

• Boundedness of the Riesz potential in local Morrey-type spaces
• Necessary and sufficient conditions for the boundedness of genuine singular integral operators in local Morrey-type spaces
• A note on Riesz potentials
• Fractional integrals on spaces of homogeneous type
• Necessary and sufficient conditions for the boundedness of fractional maximal operators in local Morrey-type spaces
• Necessary and sufficient conditions for the boundedness of the fractional maximal operator in local Morrey-type spaces
• Necessary and sufficient conditions for boundedness of the maximal operator in local Morrey-type spaces
• Boundedness of the fractional maximal operator in local Morrey-type spaces
• Necessary and sufficient conditions for the boundedness of the Riesz potential in local Morrey-type spaces
• Necessary and sufficient conditions for the boundedness of the Riesz potential in local Morrey-type spaces

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