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WEIGHTED α-COMPOSITION AND RELATED FUNCTION SPACES

delete2026-03-01
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PRE
AI
B
Bao, Guanlong
W
Wulan, Hasi
Y
Ye, Fangqin
K
KEHE ZHU *
DOI:10.1017/S1446788726101438delete
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Abstract

Abstract

En 中文
The notion of weighted $\alpha $ -composition was introduced by Ruhan Zhao in the 1990s. In this paper, we study several analytic function spaces that are closely related to weighted $\alpha $ -composition. These include $\alpha $ -Bloch spaces, $F(p,q,s)$ spaces, and Campanato spaces. We obtain derivative-free characterizations for $\alpha $ -Bloch spaces and $F(p,q,s)$ spaces, which improve some previous results in the literature. We also obtain a certain version of Carleson measures for Campanato spaces and $F(p,q,s)$ spaces.
Keywords:
alpha-Bloch space
Qp space
Campanato space
F(p, q, s) space
Carleson measure
alpha-composition

Journal

J
Journal of the Australian Mathematical Society
IF:
0.8
Papers:
33
Citations:
0

Organization

S
shantou university
Scholars:
2.5K
Papers: 832
Citations: 0
S
state university of new york (suny) system
Scholars:
6.5W
Papers: 5.8W
Citations: 65