An analog of Young's inequality for convolutions of functions for general Morrey-type spaces

DOI10.1134/S0081543816040088zbMath1351.42030OpenAlexW2506535388MaRDI QIDQ338489

T. V. Tararykova, Victor I. Burenkov

Publication date: 7 November 2016

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543816040088

zbMATH Keywords

convolutionsYoung's inequalityMorrey-type spaces

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Function spaces arising in harmonic analysis (42B35) Harmonic analysis in several variables (42B99) Convolution, factorization for one variable harmonic analysis (42A85)

Related Items (10)

Approximation in generalized Morrey spaces ⋮ Some properties of convolution in symmetric spaces and approximate identity ⋮ Integral inequalities for entire functions of exponential type in Morrey spaces ⋮ A sufficient condition for compactness of the commutators of Riesz potential on global Morrey-type space ⋮ Marcinkiewicz-type interpolation theorem for Morrey-type spaces and its corollaries ⋮ Compactness of some operators of convolution type in generalized Morrey spaces ⋮ On the compactness of convolution-type operators in Morrey spaces ⋮ On invertibility of convolution type operators in Morrey spaces ⋮ Marcinkiewicz-type interpolation theorem for Morrey-type spaces and its corollaries ⋮ SOME CLASSES OF OPERATORS IN GENERAL MORREY-TYPE SPACES

Cites Work

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• Description of the interpolation spaces for a pair of local Morrey-type spaces and their generalizations
• Boundedness of the Riesz potential in local Morrey-type spaces
• Necessary and sufficient conditions for the boundedness of genuine singular integral operators in local Morrey-type spaces
• On the pasting of functions from the spaces \(W^r_{p,\theta}\)
• On weighted Hardy and Poincaré-type inequalities for differences
• Exact analogues of the Hardy inequality for differences in the case of related weights.
• The weight Hardy inequality for differences and the complete continuity of the embedding of Sobolev spaces for domains with arbitrary strong degeneracy
• Necessary and sufficient conditions for the boundedness of fractional maximal operators in local Morrey-type spaces
• Necessary and sufficient conditions for the boundedness of the maximal operator in local Morrey-type spaces
• Necessary and sufficient conditions for the boundedness of the fractional maximal operator in local Morrey-type spaces
• Weighted Hardy-Type Inequalities for Differences and the Extension Problem for Spaces with Generalized Smoothness
• Necessary and sufficient conditions for boundedness of the maximal operator in local Morrey-type spaces
• Necessary and sufficient conditions for boundedness of the Hardy-type operator from a weighted Lebesgue space to a Morrey-type space
• Morrey-Campanato Spaces: an Overview
• Boundedness of the fractional maximal operator in local Morrey-type spaces
• Boundedness of integral operators on generalized Morrey spaces and its application to Schrödinger operators
• Necessary and sufficient conditions for the boundedness of the maximal operator from Lebesgue spaces to Morrey-type spaces
• ON IMBEDDING, CONTINUATION AND APPROXIMATION THEOREMS FOR DIFFERENTIABLE FUNCTIONS OF SEVERAL VARIABLES
• Some Theorems on Fractional Derivatives
• Necessary and sufficient conditions for the boundedness of the Riesz potential in local Morrey-type spaces
• Necessary and sufficient conditions for the boundedness of the Riesz potential in local Morrey-type spaces

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