John–Nirenberg inequality and atomic decomposition for noncommutative martingales
✍ Scribed by Guixiang Hong; Tao Mei
- Book ID
- 113710340
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 256 KB
- Volume
- 263
- Category
- Article
- ISSN
- 0022-1236
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📜 SIMILAR VOLUMES
We show that a certain matrix norm ratio studied by Parlett has a supremum that is O(&) when the chosen norm is the Frobenius norm, while it is O(1og n) for the 2-norm. This ratio arises in Parlett's analysis of the Cholesky decomposition of an n by n matrix.
## Abstract Rychkov defined weighted Besov spaces and weighted Triebel‐Lizorkin spaces coming with a weight in the class \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$A\_p^{\rm loc}$\end{document}, which is even wider than the class __A__~__p__~ due to Muckenhoupt. In