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

Shaolin Chen; Gang Liu; Antti Rasila

doi:10.1007/s00605-020-01373-z

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

Shaolin Chen, Gang Liu, Antti Rasila^*

^*Corresponding author for this work

Mathematics with Computer Science

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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 language	English
Pages (from-to)	513-536
Number of pages	24
Journal	Monatshefte fur Mathematik
Volume	191
Issue number	3
DOIs	https://doi.org/10.1007/s00605-020-01373-z
State	Published - 1 Mar 2020

Keywords

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

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10.1007/s00605-020-01373-z

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title = "Characterizations of Lipschitz-type, Bloch-type and Dirichlet-type spaces",

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.",

keywords = "Bloch-type space, Laplace operator, Lipschitz-type space, Radial growth",

author = "Shaolin Chen and Gang Liu and Antti Rasila",

note = "Publisher Copyright: {\textcopyright} 2020, Springer-Verlag GmbH Austria, part of Springer Nature.",

year = "2020",

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T1 - Characterizations of Lipschitz-type, Bloch-type and Dirichlet-type spaces

AU - Chen, Shaolin

AU - Liu, Gang

AU - Rasila, Antti

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Y1 - 2020/3/1

N2 - 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.

AB - 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.

KW - Bloch-type space

KW - Laplace operator

KW - Lipschitz-type space

KW - Radial growth

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U2 - 10.1007/s00605-020-01373-z

DO - 10.1007/s00605-020-01373-z

M3 - 文章

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VL - 191

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EP - 536

JO - Monatshefte fur Mathematik

JF - Monatshefte fur Mathematik

IS - 3

ER -

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

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Keywords

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