English

Strong continuity on Hardy spaces

Functional Analysis 2016-01-20 v1

Abstract

We prove the strong continuity of spectral multiplier operators associated with dilations of certain functions on the general Hardy space HL1H^1_L introduced by Hofmann, Lu, Mitrea, Mitrea, Yan. Our results include the heat and Poisson semigroups as well as the group of imaginary powers.

Keywords

Cite

@article{arxiv.1601.05042,
  title  = {Strong continuity on Hardy spaces},
  author = {Jacek Dziubański and Błażej Wróbel},
  journal= {arXiv preprint arXiv:1601.05042},
  year   = {2016}
}
R2 v1 2026-06-22T12:32:52.569Z