Necessary and sufficient conditions for the boundedness of the Riesz potential in local Morrey-type spaces
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Publication:5892112
DOI10.1134/S1064562407010292zbMath1327.31016MaRDI QIDQ5892112
G. V. Guliev, Victor I. Burenkov, Vagif S. Guliyev
Publication date: 20 August 2015
Published in: Doklady Mathematics (Search for Journal in Brave)
Function spaces arising in harmonic analysis (42B35) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)
Related Items (12)
Sufficient conditions for the pre-compactness of sets in global Morrey-type spaces ⋮ An analog of Young's inequality for convolutions of functions for general Morrey-type spaces ⋮ A new result on boundedness of the Riesz potential in central Morrey-Orlicz spaces ⋮ Weighted inequalities for quasilinear integral operators on the semi-axis and applications to Lorentz spaces ⋮ A sufficient condition for compactness of the commutators of Riesz potential on global Morrey-type space ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the compactness of convolution-type operators in Morrey spaces ⋮ Boundedness of the anisotropic Riesz potential in anisotropic local Morrey-type spaces ⋮ Boundedness of the maximal, potential and singular operators in the generalized Morrey spaces ⋮ Boundedness of the fractional maximal operator in local Morrey-type spaces ⋮ Necessary and sufficient conditions for the boundedness of genuine singular integral operators in local Morrey-type spaces
Cites Work
- Necessary and sufficient conditions for the boundedness of the fractional maximal operator in local Morrey-type spaces
- Weighted Hardy Inequalities for Increasing Functions
- Necessary and sufficient conditions for boundedness of the maximal operator in local Morrey-type spaces
- Hardy-Littlewood Maximal Operator, Singular Integral Operators and the Riesz Potentials on Generalized Morrey Spaces
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