On characterizations of Bloch-type, Hardy-type and Lipschitz-type spaces

Shaolin Chen, Saminathan Ponnusamy, Antti Rasila*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

In this paper, we establish a Bloch-type growth theorem for generalized Blochtype spaces and discuss relationships between Dirichlet-type spaces and Hardy-type spaces on certain classes of complex-valued functions. Then we present some applications to nonhomogeneous Yukawa PDEs.We also consider some properties of the Lipschitz-type spaces on certain classes of complex-valued functions. Finally, we will study a class of composition operators on these spaces.

Original languageEnglish
Pages (from-to)163-183
Number of pages21
JournalMathematische Zeitschrift
Volume279
Issue number1-2
DOIs
StatePublished - 14 Sep 2014
Externally publishedYes

Keywords

  • Bloch space
  • Hardy space
  • Lipschitz space
  • Majorant

Fingerprint Dive into the research topics of 'On characterizations of Bloch-type, Hardy-type and Lipschitz-type spaces'. Together they form a unique fingerprint.

Cite this