Blasco, O. and Pott, S. (2010) Operator-Valued Dyadic BMO Spaces. Journal of Operator Theory, 63(2), pp. 333-347.
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Abstract
We consider BMO spaces of operator-valued functions, among them the space of operator-valued functions B which define a bounded para-product on L-2(H). We obtain several equivalent formulations of parallel to pi(B)parallel to terms of the norm of the "sweep" function of B or of averages of the norms of martingales transforms of B in related spaces. Furthermore, we investigate a connection between John-Nirenberg type inequalities and Carleson-type inequalities via a product formula for paraproducts and deduce sharp dimensional estimates for John-Nirenberg type inequalities.
| 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: | Journal of Operator Theory |
| ISSN: | 0379-4024 |
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