English

A radial integrability result concerning bounded functions in analytic Besov spaces with applications

Complex Variables 2020-04-10 v3

Abstract

We prove that for every p1p\ge 1 there exists a bounded function in the analytic Besov space BpB^p whose derivative is "badly integrable", along every radius. We apply this result to study multipliers and weighted superposition operators acting on the spaces BpB^p.

Keywords

Cite

@article{arxiv.1910.10526,
  title  = {A radial integrability result concerning bounded functions in analytic Besov spaces with applications},
  author = {Salvador Domínguez and Daniel Girela},
  journal= {arXiv preprint arXiv:1910.10526},
  year   = {2020}
}