4.5 Article

Commutators of fractional integral operators on Vanishing-Morrey spaces

Journal

JOURNAL OF GLOBAL OPTIMIZATION
Volume 40, Issue 1-3, Pages 361-368

Publisher

SPRINGER
DOI: 10.1007/s10898-007-9176-7

Keywords

Vanishing mean oscillation functions; commutators; singular integral operators; Morrey spaces

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In this note we prove a sufficient condition for commutators of fractional integral operators to belong to Vanishing Morrey spaces VLp,lambda. 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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