Operator Valued Hardy Spaces is popular PDF and ePub book, written by Tao Mei in 2007, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Operator Valued Hardy Spaces can be Read Online from any device for your convenience.
Operator Valued Hardy Spaces Book PDF Summary
The author gives a systematic study of the Hardy spaces of functions with values in the noncommutative $Lp$-spaces associated with a semifinite von Neumann algebra $\mathcal{M .$ This is motivated by matrix valued Harmonic Analysis (operator weighted norm inequalities, operator Hilbert transform), as well as by the recent development of noncommutative martingale inequalities. in this paper noncommutative Hardy spaces are defined by noncommutative Lusin integral function, and it isproved that they are equivalent to those defined by noncommutative Littlewood-Paley G-functions. The main results of this paper include: (i) The analogue in the author's setting of the classical Fefferman duality theorem between $\mathcal{H 1$ and $\mathrm{BMO $. (ii) The atomic decomposition of theauthor's noncommutative $\mathcal{H 1.$ (iii) The equivalence between the norms of the noncommutative Hardy spaces and of the noncommutative $Lp$-spaces $(1
Detail Book of Operator Valued Hardy Spaces PDF
- Author : Tao Mei
- Release : 01 October 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821839805
- Genre : Mathematics
- Total Page : 78 pages
- Language : English
- PDF File Size : 10,9 Mb
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