English

Composition operators on the spaces of Harmonic Bloch functions

Functional Analysis 2018-12-27 v2

Abstract

In this paper we characterize some basic properties of composition operators on the spaces of harmonic Bloch functions. First we provide some equivalent conditions for boundedness and compactness of composition operators. Then by using these conditions we estimate the essential norm of composition operators. These results extends the similar results that were proven in the literature on the Bloch spaces.

Keywords

Cite

@article{arxiv.1812.08979,
  title  = {Composition operators on the spaces of Harmonic Bloch functions},
  author = {Y. Estaremi and S. Esmaili and A. Ebadian},
  journal= {arXiv preprint arXiv:1812.08979},
  year   = {2018}
}

Comments

12 pages

R2 v1 2026-07-22T20:51:49.365Z