Illinois Journal of Mathematics
- Illinois J. Math.
- Volume 52, Number 3 (2008), 799-814.
Embeddings between operator-valued dyadic BMO spaces
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.
Illinois J. Math., Volume 52, Number 3 (2008), 799-814.
First available in Project Euclid: 1 October 2009
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Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 42B30: $H^p$-spaces 42B35: Function spaces arising in harmonic analysis
Secondary: 47B35: Toeplitz operators, Hankel operators, Wiener-Hopf operators [See also 45P05, 47G10 for other integral operators; see also 32A25, 32M15]
Blasco, Oscar; Pott, Sandra. Embeddings between operator-valued dyadic BMO spaces. Illinois J. Math. 52 (2008), no. 3, 799--814. doi:10.1215/ijm/1254403715. https://projecteuclid.org/euclid.ijm/1254403715