On boundedness of the generalized Riesz potential in local Morrey-type spaces

DOI10.1007/S10958-022-06134-XMaRDI QIDQ6188025

Mariam Abdelkaderovna Senouci, Victor I. Burenkov

Publication date: 1 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

boundednesslocal Morrey-type spacesgeneralized Riesz potential operator

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) 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)

Cites Work

• Boundedness of the Riesz potential in local Morrey-type spaces
• Necessary and sufficient conditions for the boundedness of fractional maximal operators in local Morrey-type spaces
• On embeddings between classical Lorentz spaces
• Reduction theorems for weighted integral inequalities on the cone of monotone functions
• Necessary and sufficient conditions for boundedness of the maximal operator in local Morrey-type spaces
• BOUNDEDNESS OF THE GENERALIZED RIESZ POTENTIAL IN LOCAL MORREY TYPE SPACES
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