Embeddings between operator-valued dyadic BMO spaces

Details Embeddings between operator-valued dyadic BMO spaces Embeddings between operator-valued dyadic BMO spaces

2008-05-06

arxiv.org/abs/0805.0620v1

Mathematics

Functional Analysis

to appear in Illinois J. Math

Scientific paper

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 characterisations 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.

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