This is an announcement for the paper "Embeddings between operator-valued dyadic BMO spaces" by Oscar Blasco and Sandra Pott.

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 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.

Archive classification: math.FA

Mathematics Subject Classification: Primary 42B30, 42B35, Secondary 47B35

Remarks: to appear in Illinois J. Math

The source file(s), BlascoPott2.tex: 45114 bytes, is(are) stored in gzipped form as 0805.0620.gz with size 14kb. The corresponding postcript file has gzipped size 102kb.

Submitted from: s.pott@maths.gla.ac.uk

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