Characterizations of Lipschitz-type, Bloch-type and Dirichlet-type spaces

Shaolin Chen, Gang Liu, Antti Rasila*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we will give new characterizations of Lipschitz-type spaces, and establish related growth theorems for Bloch-type spaces. Then we will present applications to certain PDEs. We will also consider the Dirichlet-type energy integrals and their applications.

Original languageEnglish
Pages (from-to)513-536
Number of pages24
JournalMonatshefte fur Mathematik
Volume191
Issue number3
DOIs
StatePublished - 1 Mar 2020

Keywords

  • Bloch-type space
  • Laplace operator
  • Lipschitz-type space
  • Radial growth

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