Commutators of fractional integral operators on Vanishing-Morrey spaces |
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| Authors: | Maria Alessandra Ragusa |
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| Institution: | (1) Department of Mathematics and Computer Science, University of Catania, Viale Andrea Doria 6, 95125 Catania, Italy |
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| Abstract: | In this note we prove a sufficient condition for commutators of fractional integral operators to belong to Vanishing Morrey
spaces VL
p,λ. In doing this we use an extension on Morrey spaces of an inequality by Fefferman and Stein concerning the sharp maximal
function and the fractional maximal function and related Morrey inequalities.
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| Keywords: | Vanishing mean oscillation functions Commutators Singular integral operators Morrey Spaces |
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