English

Semigroups of composition operators in analytic Morrey spaces

Complex Variables 2019-09-26 v1 Functional Analysis

Abstract

Analytic Morrey spaces belong to the class of function spaces which, like BMOA, are defined in terms of the degree of oscillation on the boundary of functions analytic in the unit disc. We consider semigroups of composition operators on these spaces and focus on the question of strong continuity. It is shown that these semigroups behave like on BMOA.

Keywords

Cite

@article{arxiv.1909.11035,
  title  = {Semigroups of composition operators in analytic Morrey spaces},
  author = {Petros Galanopoulos and Noel Merchán and Aristomenis G. Siskakis},
  journal= {arXiv preprint arXiv:1909.11035},
  year   = {2019}
}

Comments

15 pages

R2 v1 2026-06-23T11:24:34.123Z