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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
mathematics
BMO in the Bergman metric on bounded symmetric domains
Journal of Functional Analysis, Volume 93, No. 2, Year 1990
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Description
For bounded symmetric domains Ω in Cn, a notion of "bounded mean oscillation" in terms of the Bergman metric is introduced. It is shown that for f{hook} in L2(Ω, dv), f{hook} is in BMO(Ω) if and only if the densely-defined operator [Mf{hook}, P] ≡ Mf{hook}P - PMf{hook} on L2(Ω, dv) is bounded (here, Mf{hook} is "multiplication by f{hook}" and P is the Bergman projection with range the Bergman subspace H2(Ω, dv) = La2(Ω, dv) of holomorphic functions in L2(Ω, dv)). An analogous characterization of compactness for [Mf{hook}, P] is provided by functions of "vanishing mean oscillation at the boundary of Ω". © 1990.
Authors & Co-Authors
Békollé, David
Cameroon, Yaounde
Université de Yaoundé I
Berger, Charles A.
United States, New York
Lehman College
Coburn, Lewis A.
United States, Buffalo
University at Buffalo, the State University of new York
Zhu, Kehe
United States, Albany
State University of new York Albany
Statistics
Citations: 157
Authors: 4
Affiliations: 4
Identifiers
Doi:
10.1016/0022-1236(90)90131-4
ISSN:
00221236
e-ISSN:
10960783