English

Bloch type spaces on the unit ball of a Hilbert space

Complex Variables 2019-04-24 v2

Abstract

In this article, we initiate the study of Bloch type spaces on the unit ball of a Hilbert space. As applications, the Hardy-Littlewood theorem in infinite-dimensional Hilbert spaces and characterizations of some holomorphic function spaces related to the Bloch type space are presented.

Keywords

Cite

@article{arxiv.1611.10227,
  title  = {Bloch type spaces on the unit ball of a Hilbert space},
  author = {Zhenghua Xu},
  journal= {arXiv preprint arXiv:1611.10227},
  year   = {2019}
}

Comments

to appear in Czechoslovak Mathematical Journal