期刊
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY
卷 106, 期 1, 页码 1-18出版社
CAMBRIDGE UNIV PRESS
DOI: 10.1017/S1446788718000022
关键词
Mobius invariant function spaces; Dirichlet spaces with superharmonic weights; inner functions
类别
资金
- NNSF of China [11720101003]
- STU Scientific Research Foundation for Talents [NTF17020]
Let D-mu be Dirichlet spaces with superharmonic weights induced by positive Borel measures mu on the open unit disk. Denote by M(D-mu) Mobius invariant function spaces generated by D-mu. In this paper, we investigate the relation among D-mu ,M(D-mu) and some Mobius invariant function spaces, such as the space BMOA of analytic functions on the open unit disk with boundary values of bounded mean oscillation and the Dirichlet space. Applying the relation between BMOA and M(D-mu), under the assumption that the weight function K is concave, we characterize the function K such that Q(K) = BMOA. We also describe inner functions in M(D-mu) spaces.
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