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arXiv:1601.03172 [math.AP]AbstractReferencesReviewsResources

On Caffarelli-Kohn-Nirenberg inequalities for block-radial functions

Cyril Tintarev, Leszek Skrzypczak

Published 2016-01-13Version 1

The paper provides weighted Sobolev inequalities of the Caffarelli-Kohn-Nirenberg type for functions with multi-radial symmetry. Similarly to the previously studied radial case, the range of parameters in CKN inequalities can be extended, sometimes to infinity, providing a pointwise estimate similar to the classical radial estimate. Furthermore, the "multi-radial" weights are a stronger singularity than radial weights of the same homogeneity.

Categories: math.AP, math.FA
Subjects: 46E35, 46B50, 46N20
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