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Weighted Hardy Spaces

2006-11-14 Mathematics
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Release : 2006-11-14
Genre : Mathematics
Kind : eBook
Book Rating : 074/5 ( reviews)

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Book Synopsis Weighted Hardy Spaces by : Jan-Olov Strömberg

Download or read book Weighted Hardy Spaces written by Jan-Olov Strömberg. This book was released on 2006-11-14. Available in PDF, EPUB and Kindle. Book excerpt: These notes give the basic ingredients of the theory of weighted Hardy spaces of tempered distribution on Rn and illustrate the techniques used. The authors consider properties of weights in a general setting; they derive mean value inequalities for wavelet transforms and introduce halfspace techniques with, for example, nontangential maximal functions and g-functions. This leads to several equivalent definitions of the weighted Hardy space HPW. Fourier multipliers and singular integral operators are applied to the weighted Hardy spaces and complex interpolation is considered. One tool often used here is the atomic decomposition. The methods developed by the authors using the atomic decomposition in the strictly convex case p>1 are of special interest.

Weighted Hardy Spaces

2014-01-15
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Release : 2014-01-15
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Kind : eBook
Book Rating : 622/5 ( reviews)

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Book Synopsis Weighted Hardy Spaces by : Jan-Olov Stromberg

Download or read book Weighted Hardy Spaces written by Jan-Olov Stromberg. This book was released on 2014-01-15. Available in PDF, EPUB and Kindle. Book excerpt:

Weighted Inequalities Of Hardy Type

2003-04-03 Mathematics
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Release : 2003-04-03
Genre : Mathematics
Kind : eBook
Book Rating : 085/5 ( reviews)

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Book Synopsis Weighted Inequalities Of Hardy Type by : Alois Kufner

Download or read book Weighted Inequalities Of Hardy Type written by Alois Kufner. This book was released on 2003-04-03. Available in PDF, EPUB and Kindle. Book excerpt: Inequalities play an important role in almost all branches of mathematics as well as in other areas of science and engineering. This book surveys the present state of the theory of weighted integral inequalities of Hardy type, including modifications concerning Hardy-Steklov operators, and some basic results about Hardy type inequalities and their limit (Carleman-Knopp type) inequalities. It also describes some rather new fields such as higher order and fractional order Hardy type inequalities and integral inequalities on the cone of monotone functions together with some applications and open problems. The book can serve as a reference and a source of inspiration for researchers working in these and related areas, but could also be used for advanced graduate courses.

Composition Operations in Weighted Hardy Spaces

1988
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Release : 1988
Genre :
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Book Synopsis Composition Operations in Weighted Hardy Spaces by : Nina Zorboska

Download or read book Composition Operations in Weighted Hardy Spaces written by Nina Zorboska. This book was released on 1988. Available in PDF, EPUB and Kindle. Book excerpt:

Operator Valued Hardy Spaces

2007 Mathematics
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Release : 2007
Genre : Mathematics
Kind : eBook
Book Rating : 802/5 ( reviews)

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Book Synopsis Operator Valued Hardy Spaces by : Tao Mei

Download or read book Operator Valued Hardy Spaces written by Tao Mei. This book was released on 2007. Available in PDF, EPUB and Kindle. Book excerpt: 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

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