English

Fractional integration with singularity on unit sphere

Classical Analysis and ODEs 2022-03-15 v3

Abstract

We study a family of convolution operators whose kernels have a singularity on the unit sphere. As a result, we prove the regarding L^p-L^q Sobolev inequalities.

Keywords

Cite

@article{arxiv.2109.09330,
  title  = {Fractional integration with singularity on unit sphere},
  author = {Zipeng Wang},
  journal= {arXiv preprint arXiv:2109.09330},
  year   = {2022}
}

Comments

One more result (Theorem Two) is added

R2 v1 2026-06-24T06:07:36.654Z