Equivalence of norms of Riesz potential and fractional maximal function in generalized Morrey spaces

DOI10.1007/s13348-010-0012-xzbMath1258.42017OpenAlexW2075619237MaRDI QIDQ692044

Amiran Gogatishvili, Rza Ch. Mustafayev

Publication date: 4 December 2012

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13348-010-0012-x

zbMATH Keywords

Riesz potentialfractional maximal operatorgeneralized Morrey space

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) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35)

Related Items

Equivalence of norms of the generalized fractional integral operator and the generalized fractional maximal operator on the generalized weighted Morrey spaces, Weighted local estimates for fractional type operators, A Thought on Generalized Morrey Spaces, An extension of the Muckenhoupt-Wheeden theorem to generalized weighted Morrey spaces

Cites Work

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• Boundedness of the Riesz potential in local Morrey-type spaces
• Weighted inequalities for Hardy-type operators involving suprema
• A note on Riesz potentials
• Modern Fourier Analysis
• 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
• The reverse Hardy inequality with measures
• Nonlinear potential analysis on Morrey spaces and their capacities