Weighted Local Orliz-Hardy Spaces with Applications to Pseudo-differential Operators PDF Download
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Author: Dachun Yang
Publisher:
ISBN:
Category :
Languages : en
Pages : 78
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Book Description
Author: Dachun Yang
Publisher:
ISBN:
Category :
Languages : en
Pages : 78
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Book Description
Author: David E. Edmunds
Publisher: Springer Science & Business Media
ISBN: 9783540219729
Category : Computers
Languages : en
Pages : 352
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Book Description
Classical Sobolev spaces, based on Lebesgue spaces on an underlying domain with smooth boundary, are not only of considerable intrinsic interest but have for many years proved to be indispensible in the study of partial differential equations and variational problems. Many developments of the basic theory since its inception arise in response to concrete problems, for example, with the (ubiquitous) sets with fractal boundaries. The theory will probably enjoy substantial further growth, but even now a connected account of the mature parts of it makes a useful addition to the literature. Accordingly, the main themes of this book are Banach spaces and spaces of Sobolev type based on them; integral operators of Hardy type on intervals and on trees; and the distribution of the approximation numbers (singular numbers in the Hilbert space case) of embeddings of Sobolev spaces based on generalised ridged domains. This timely book will be of interest to all those concerned with the partial differential equations and their ramifications. A prerequisite for reading it is a good graduate course in real analysis.
Author: Tao Mei
Publisher: American Mathematical Soc.
ISBN: 9780821866221
Category : Mathematics
Languages : en
Pages : 84
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Book Description
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
Author: Shanzhen Lu
Publisher: World Scientific
ISBN: 9811253692
Category : Mathematics
Languages : en
Pages : 215
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Book Description
In many branches of mathematical analysis and mathematical physics, the Hardy operator and Hardy inequality are fundamentally important and have been intensively studied ever since the pioneer researches. This volume presents new properties of higher-dimensional Hardy operators obtained by the authors and their collaborators over the last decade. Its prime focus is on higher-dimensional Hardy operators that are based on the spherical average form.The key motivation for this monograph is based on the fact that the Hardy operator is generally smaller than the Hardy-Littlewood maximal operator, which leads to, on the one hand, the operator norm of the Hardy operator itself being smaller than the latter. On the other hand, the former characterizing the weight function class or function spaces is greater than the latter.
Author: Lassi Päivärinta
Publisher:
ISBN:
Category :
Languages : en
Pages : 10
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Book Description
Author: Steve Hofmann
Publisher:
ISBN: 9781470406240
Category : MATHEMATICS
Languages : en
Pages : 78
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Book Description
Author: Tri Dung Tran
Publisher:
ISBN:
Category : Operator spaces
Languages : en
Pages : 97
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Author: Josefina Alvarez
Publisher:
ISBN:
Category :
Languages : en
Pages : 29
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Author: Thomas Domenig
Publisher:
ISBN:
Category :
Languages : de
Pages : 83
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Book Description
Author: Dachun Yang
Publisher: Springer
ISBN: 331954361X
Category : Mathematics
Languages : en
Pages : 476
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Book Description
The main purpose of this book is to give a detailed and complete survey of recent progress related to the real-variable theory of Musielak–Orlicz Hardy-type function spaces, and to lay the foundations for further applications. The real-variable theory of function spaces has always been at the core of harmonic analysis. Recently, motivated by certain questions in analysis, some more general Musielak–Orlicz Hardy-type function spaces were introduced. These spaces are defined via growth functions which may vary in both the spatial variable and the growth variable. By selecting special growth functions, the resulting spaces may have subtler and finer structures, which are necessary in order to solve various endpoint or sharp problems. This book is written for graduate students and researchers interested in function spaces and, in particular, Hardy-type spaces.
