  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.

Analysis of PDEs;Functional Analysis