Necessary and sufficient conditions for the boundedness of \(B\)-Riesz potential in the \(B\)-Morrey spaces

DOI10.1016/j.jmaa.2008.03.077zbMath1263.42003OpenAlexW1967329567MaRDI QIDQ936576

Vagif S. Guliyev, Javanshir J. Hasanov

Publication date: 14 August 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.03.077

zbMATH Keywords

\(B\)-maximal operator\(B\)-Riesz potential\(B\)-Morrey spaceHardy-Littlewood-Sobolev-Morrey type estimate

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Integral operators (47G10)

Related Items

On the boundedness of a \(B\)-Riesz potential in the generalized weighted \(B\)-Morrey spaces ⋮ Necessary and sufficient condition for the boundedness of the Gegenbauer-Riesz potential on Morrey spaces ⋮ Parabolic fractional maximal operator in modified parabolic Morrey spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the limiting case for boundedness of the \(B\)-Riesz potential in \(B\)-Morrey spaces ⋮ On limiting case of the Sobolev theorem for B-Riesz potential in modified B-Morrey spaces ⋮ \(B\)-maximal commutators, commutators of \(B\)-singular integral operators and \(B\)-Riesz potentials on \(B\)-Morrey spaces ⋮ Unnamed Item ⋮ Conditions for the \(L_{p, \lambda}\)-boundedness of the Riesz potential generated by the Gegenbauer differential operator

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