English

On multipliers for Hardy-Sobolev spaces and holomorphic potentials

Complex Variables 2016-08-11 v1

Abstract

We study the action of some generalized integral operators of Bergman type on pointwise multipliers of holomorphic Triebel-Lizorkin spaces. We construct nontrivial examples of pointwise multipliers in Hardy-Sobolev spaces and give applications of all these results.

Keywords

Cite

@article{arxiv.1305.7350,
  title  = {On multipliers for Hardy-Sobolev spaces and holomorphic potentials},
  author = {Carme Cascante and Joan Fàbrega and Joaquín M. Ortega},
  journal= {arXiv preprint arXiv:1305.7350},
  year   = {2016}
}