Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6419367 | Journal of Mathematical Analysis and Applications | 2012 | 19 Pages |
Abstract
We prove an extension of the Stein-Weiss weighted estimates for fractional integrals, in the context of Lp spaces with different integrability properties in the radial and the angular direction. In this way, the classical estimates can be unified with their improved radial versions. A number of consequences are obtained: in particular we deduce precised versions of weighted Sobolev embeddings, Caffarelli-Kohn-Nirenberg estimates, and Strichartz estimates for the wave equation, which extend the radial improvements to the case of arbitrary functions.
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Physical Sciences and Engineering
Mathematics
Analysis
Authors
Piero DʼAncona, Renato Lucaʼ,