Embeddings Between Operator-Valued Dyadic Bmo Spaces

Blasco, O. and Pott, S. (2008) Embeddings Between Operator-Valued Dyadic Bmo Spaces. Illinois Journal of Mathematics, 52(3), pp. 799-814.

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Abstract

We investigate a scale of dyadic operator-valued BMO spaces, corresponding to the different yet equivalent characterizations of dyadic BMO in the scalar case. In the language of operator spaces, we investigate different operator space structures on the scalar dyadic BMO space which arise naturally from the different characterizations of scalar BMO. We also give sharp dimensional growth estimates for the sweep of functions and its bilinear extension in some of those different dyadic BMO spaces.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Pott, Dr Sandra
Authors: Blasco, O., and Pott, S.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Illinois Journal of Mathematics
Publisher:University Of Illinois
ISSN:0019-2082

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