On Caffarelli-Kohn-Nirenberg inequalities for block-radial functions
Analysis of PDEs
2016-01-14 v1 Functional Analysis
Abstract
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.
Keywords
Cite
@article{arxiv.1601.03172,
title = {On Caffarelli-Kohn-Nirenberg inequalities for block-radial functions},
author = {Cyril Tintarev and Leszek Skrzypczak},
journal= {arXiv preprint arXiv:1601.03172},
year = {2016}
}