scientific article; zbMATH DE number 7300633

zbMath1456.42026MaRDI QIDQ5146261

Elman J. Ibrahimov, Vagif S. Guliyev

Publication date: 25 January 2021

Full work available at URL: http://www.rmi.ge/transactions/TRMI-volumes/173-1/v173(1)-5.pdf

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zbMATH Keywords

Hardy-Littlewood-Sobolev inequalitymodified Morrey spaceGegenbauer differential operatorGegenbauer-Riesz potential

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) (H^p)-spaces (42B30)

Cites Work

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• The Hardy-Littlewood-Sobolev theorem for Riesz potential generated by Gegenbauer operator
• Necessary and sufficient conditions for the boundedness of \(B\)-Riesz potential in the \(B\)-Morrey spaces
• The Sobolev theorem for anisotropic Riesz-Bessel potentials in Morrey-Bessel spaces
• Commutators and generalized local Morrey spaces
• On Gegenbauer transformation on the half-line
• Necessary and sufficient conditions for the boundedness of the Riesz potential in modified Morrey spaces
• W 2,p -Solvability of the Dirichlet Problem for Nondivergence Elliptic Equations with VMO Coefficients
• Expansion formulas and addition theorems for Gegenbauer functions
• Necessary and sufficient conditions for the boundedness of the Riesz potential in local Morrey-type spaces

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