Necessary and sufficient conditions for the boundedness of the fractional maximal operator in local Morrey-type spaces

DOI10.1134/S1064562406040181zbMath1135.42011OpenAlexW2003469311MaRDI QIDQ2477458

G. V. Guliev, Vagif S. Guliyev, Victor I. Burenkov

Publication date: 13 March 2008

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562406040181

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)

Related Items (10)

Interpolation theorems for nonlinear operators in general Morrey-type spaces and their applications ⋮ On the convolution operator in Morrey spaces ⋮ An analog of Young's inequality for convolutions of functions for general Morrey-type spaces ⋮ Boundedness of sublinear operators and commutators on generalized Morrey spaces ⋮ Boundedness of a class of sublinear operators and their commutators on generalized Morrey spaces ⋮ Necessary and sufficient conditions for the boundedness of the Riesz potential in local Morrey-type spaces ⋮ On the compactness of convolution-type operators in Morrey spaces ⋮ Boundedness of the anisotropic Riesz potential in anisotropic local Morrey-type spaces ⋮ On the Boundedness of the Fractional Maximal Operator, Riesz Potential and Their Commutators in Generalized Morrey Spaces ⋮ Necessary and sufficient conditions for the boundedness of genuine singular integral operators in local Morrey-type spaces

Cites Work

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