Dissemin is shutting down on January 1st, 2025

Published in

Elsevier, Journal of Functional Analysis, 2(93), p. 310-350, 1990

DOI: 10.1016/0022-1236(90)90131-4

Links

Tools

Export citation

Search in Google Scholar

BMO in the Bergman metric on bounded symmetric domains

Journal article published in 1990 by D. Békollé, C. A. Berger, L. A. Coburn ORCID, K. H. Zhu
This paper was not found in any repository, but could be made available legally by the author.
This paper was not found in any repository, but could be made available legally by the author.

Full text: Unavailable

Green circle
Preprint: archiving allowed
Orange circle
Postprint: archiving restricted
Red circle
Published version: archiving forbidden
Data provided by SHERPA/RoMEO

Abstract

For bounded symmetric domains Ω in n, a notion of “bounded mean oscillation” in terms of the Bergman metric is introduced. It is shown that for ƒ in L2(Ω, dv), ƒ is in BMO(Ω) if and only if the densely-defined operator on L2(Ω, dv) is bounded (here, is “multiplication by ƒ” and P is the Bergman projection with range the Bergman subspace of holomorphic functions in L2(Ω, dv)). An analogous characterization of compactness for [] is provided by functions of “vanishing mean oscillation at the boundary of Ω”.