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

Shaolin Chen; Saminathan Ponnusamy; Antti Rasila

doi:10.1007/s00209-014-1361-z

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 journal › Article › peer-review

27 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 language	English
Pages (from-to)	163-183
Number of pages	21
Journal	Mathematische Zeitschrift
Volume	279
Issue number	1-2
DOIs	https://doi.org/10.1007/s00209-014-1361-z
State	Published - 14 Sep 2014
Externally published	Yes

Keywords

Bloch space
Hardy space
Lipschitz space
Majorant

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Y1 - 2014/9/14

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KW - Bloch space

KW - Hardy space

KW - Lipschitz space

KW - Majorant

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ER -

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

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Keywords

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