Littlewood Paley Theory On Spaces Of Homogeneous Type And The Classical Function Spaces
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Littlewood Paley Theory On Spaces Of Homogeneous Type And The Classical Function Spaces
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Author : Yongsheng Han
language : en
Publisher: American Mathematical Soc.
Release Date : 1994
Littlewood Paley Theory On Spaces Of Homogeneous Type And The Classical Function Spaces written by Yongsheng Han and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
In this work, Han and Sawyer extend Littlewood-Paley theory, Besov spaces, and Triebel-Lizorkin spaces to the general setting of a space of homogeneous type. For this purpose, they establish a suitable analogue of the Calder 'on reproducing formula and use it to extend classical results on atomic decomposition, interpolation, and T1 and Tb theorems. Some new results in the classical setting are also obtained: atomic decompositions with vanishing b-moment, and Littlewood-Paley characterizations of Besov and Triebel-Lizorkin spaces with only half the usual smoothness and cancellation conditions on the approximate identity.
Harmonic Analysis On Spaces Of Homogeneous Type
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Author : Donggao Deng
language : en
Publisher: Springer
Release Date : 2008-11-21
Harmonic Analysis On Spaces Of Homogeneous Type written by Donggao Deng and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-21 with Mathematics categories.
This book could have been entitled “Analysis and Geometry.” The authors are addressing the following issue: Is it possible to perform some harmonic analysis on a set? Harmonic analysis on groups has a long tradition. Here we are given a metric set X with a (positive) Borel measure ? and we would like to construct some algorithms which in the classical setting rely on the Fourier transformation. Needless to say, the Fourier transformation does not exist on an arbitrary metric set. This endeavor is not a revolution. It is a continuation of a line of research whichwasinitiated,acenturyago,withtwofundamentalpapersthatIwould like to discuss brie?y. The ?rst paper is the doctoral dissertation of Alfred Haar, which was submitted at to University of Gottingen ̈ in July 1907. At that time it was known that the Fourier series expansion of a continuous function may diverge at a given point. Haar wanted to know if this phenomenon happens for every 2 orthonormal basis of L [0,1]. He answered this question by constructing an orthonormal basis (today known as the Haar basis) with the property that the expansion (in this basis) of any continuous function uniformly converges to that function.
Fractals And Spectra
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Author : Hans Triebel
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-17
Fractals And Spectra written by Hans Triebel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-17 with Mathematics categories.
This book deals with the symbiotic relationship between the theory of function spaces, fractal geometry, and spectral theory of (fractal) pseudodifferential operators as it has emerged quite recently. Most of the presented material is published here for the first time.
Geometry Of Loop Spaces And The Cobar Construction
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Author : Hans J. Baues
language : en
Publisher: American Mathematical Soc.
Release Date : 1980
Geometry Of Loop Spaces And The Cobar Construction written by Hans J. Baues and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematics categories.
The homology of iterated loop spaces [capital Greek]Omega [superscript]n [italic]X has always been a problem of major interest because it gives some insight into the homotopy of [italic]X, among other things. Therefore, if [italic]X is a CW-complex, one has been interested in small CW models for [capital Greek]Omega [superscript]n [italic]X in order to compute the cellular chain complex. The author proves a very general model theorem from which he can derive models, in addition to very technical proofs of the model theorem for several other models.
Maximal Functions Littlewood Paley Theory Riesz Transforms And Atomic Decomposition In The Multi Parameter Flag Setting
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Author : Yongsheng Han
language : en
Publisher: American Mathematical Society
Release Date : 2022-08-31
Maximal Functions Littlewood Paley Theory Riesz Transforms And Atomic Decomposition In The Multi Parameter Flag Setting written by Yongsheng Han and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-31 with Mathematics categories.
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The Operator Hilbert Space Oh Complex Interpolation And Tensor Norms
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Author : Gilles Pisier
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
The Operator Hilbert Space Oh Complex Interpolation And Tensor Norms written by Gilles Pisier and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
In the recently developed duality theory of operator spaces, bounded operators are replaced by 'completely bounded' ones, isomorphism by 'complete isomorphisms' and Banach spaces by 'operator spaces'. This allows for distinguishing between the various ways in which a given Banach space can be embedded isometrically into [italic capital]B([italic capital]H) (with H being Hilbert). One of the main results is the observation that there is a central object in this class: there is a unique self dual Hilbertian operator space (which we denote by [italic capitals]OH) which seems to play the same central role in the category of operator spaces that Hilbert spaces play in the category of Banach spaces.
Topics In Mathematical Analysis
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Author : Paolo Ciatti
language : en
Publisher: World Scientific
Release Date : 2008-06-16
Topics In Mathematical Analysis written by Paolo Ciatti and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-06-16 with Mathematics categories.
This volume consists of a series of lecture notes on mathematical analysis. The contributors have been selected on the basis of both their outstanding scientific level and their clarity of exposition. Thus, the present collection is particularly suited to young researchers and graduate students. Through this volume, the editors intend to provide the reader with material otherwise difficult to find and written in a manner which is also accessible to nonexperts.
Factorizing The Classical Inequalities
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Author : Grahame Bennett
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
Factorizing The Classical Inequalities written by Grahame Bennett and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
This memoir describes a new way of looking at the classical inequalities. The most famous such results, (those of Hilbert, Hardy, and Copson) may be interpreted as inclusion relationships, l[superscript italic]p [subset equality symbol] [italic capital]Y, between certain (Banach) sequence spaces, the norm of the injection being the best constant of the particular inequality. The inequalities of Hilbert, Hardy, and Copson all share the same space [italic capital]Y. That space -- alias [italic]ces([italic]p) -- is central to many celebrated inequalities, and thus is studied here in considerable detail.
On Finite Groups And Homotopy Theory
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Author : Ran Levi
language : en
Publisher: American Mathematical Soc.
Release Date : 1995
On Finite Groups And Homotopy Theory written by Ran Levi and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
In part 1 we study the homology, homotopy, and stable homotopy of [capital Greek]Omega[italic capital]B[lowercase Greek]Pi[up arrowhead][over][subscript italic]p, where [italic capital]G is a finite [italic]p-perfect group. In part 2 we define the concept of resolutions by fibrations over an arbitrary family of spaces.
Christoffel Functions And Orthogonal Polynomials For Exponential Weights On 1 1
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Author : A. L. Levin
language : en
Publisher: American Mathematical Soc.
Release Date : 1994
Christoffel Functions And Orthogonal Polynomials For Exponential Weights On 1 1 written by A. L. Levin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
Bounds for orthogonal polynomials which hold on the 'whole' interval of orthogonality are crucial to investigating mean convergence of orthogonal expansions, weighted approximation theory, and the structure of weighted spaces. This book focuses on a method of obtaining such bounds for orthogonal polynomials (and their Christoffel functions) associated with weights on [-1,1]. Also presented are uniform estimates of spacing of zeros of orthogonal polynomials and applications to weighted approximation theory.