Download or read book On the Interpolation of Analytic Families of Operators Acting on Hp Spaces written by Elias M. Stein and published by . This book was released on 1957 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Function Spaces Interpolation Theory and Related Topics written by Michael Cwikel and published by Walter de Gruyter. This book was released on 2008-08-22 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 16 refereed research articles on function spaces, interpolation theory and related fields. Topics covered: theory of function spaces, Hankel-type and related operators, analysis on bounded symmetric domains, partial differential equations, Green functions, special functions, homogenization theory, Sobolev embeddings, Coxeter groups, spectral theory and wavelets. The book will be of interest to both researchers and graduate students working in interpolation theory, function spaces and operators, partial differential equations and analysis on bounded symmetric domains.
Download or read book Harmonic Analysis PMS 43 Volume 43 written by Elias M. Stein and published by Princeton University Press. This book was released on 2016-06-02 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains an exposition of some of the main developments of the last twenty years in the following areas of harmonic analysis: singular integral and pseudo-differential operators, the theory of Hardy spaces, L\sup\ estimates involving oscillatory integrals and Fourier integral operators, relations of curvature to maximal inequalities, and connections with analysis on the Heisenberg group.
Download or read book Weighted Norm Inequalities and Related Topics written by J. García-Cuerva and published by Elsevier. This book was released on 2011-08-18 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: The unifying thread of this book is the topic of Weighted Norm Inequalities, but many other related topics are covered, including Hardy spaces, singular integrals, maximal operators, functions of bounded mean oscillation and vector valued inequalities. The emphasis is placed on basic ideas; problems are first treated in a simple context and only afterwards are further results examined.
Download or read book AFOSR written by United States. Air Force. Office of Scientific Research and published by . This book was released on 1957 with total page 1136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fundamental Papers in Wavelet Theory written by Christopher Heil and published by Princeton University Press. This book was released on 2009-01-10 with total page 897 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book traces the prehistory and initial development of wavelet theory, a discipline that has had a profound impact on mathematics, physics, and engineering. Interchanges between these fields during the last fifteen years have led to a number of advances in applications such as image compression, turbulence, machine vision, radar, and earthquake prediction. This book contains the seminal papers that presented the ideas from which wavelet theory evolved, as well as those major papers that developed the theory into its current form. These papers originated in a variety of journals from different disciplines, making it difficult for the researcher to obtain a complete view of wavelet theory and its origins. Additionally, some of the most significant papers have heretofore been available only in French or German. Heil and Walnut bring together these documents in a book that allows researchers a complete view of wavelet theory's origins and development.
Download or read book Trigonometric Series written by Antoni Zygmund and published by Cambridge University Press. This book was released on 2002 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: Both volumes of classic text on trigonometric series, with a foreword by Robert Fefferman.
Download or read book Mean Summability for Ultraspherical Polynomials written by Richard Askey and published by . This book was released on 1960 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Complex Interpolation between Hilbert Banach and Operator Spaces written by Gilles Pisier and published by American Mathematical Soc.. This book was released on 2010-10-07 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: Motivated by a question of Vincent Lafforgue, the author studies the Banach spaces $X$ satisfying the following property: there is a function $\varepsilon\to \Delta_X(\varepsilon)$ tending to zero with $\varepsilon>0$ such that every operator $T\colon \ L_2\to L_2$ with $\T\\le \varepsilon$ that is simultaneously contractive (i.e., of norm $\le 1$) on $L_1$ and on $L_\infty$ must be of norm $\le \Delta_X(\varepsilon)$ on $L_2(X)$. The author shows that $\Delta_X(\varepsilon) \in O(\varepsilon^\alpha)$ for some $\alpha>0$ iff $X$ is isomorphic to a quotient of a subspace of an ultraproduct of $\theta$-Hilbertian spaces for some $\theta>0$ (see Corollary 6.7), where $\theta$-Hilbertian is meant in a slightly more general sense than in the author's earlier paper (1979).
Download or read book Martingales in Banach Spaces written by Gilles Pisier and published by Cambridge University Press. This book was released on 2016-06-06 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the major applications of martingales to the geometry of Banach spaces, and a substantial discussion of harmonic analysis in Banach space valued Hardy spaces is also presented. It covers exciting links between super-reflexivity and some metric spaces related to computer science, as well as an outline of the recently developed theory of non-commutative martingales, which has natural connections with quantum physics and quantum information theory. Requiring few prerequisites and providing fully detailed proofs for the main results, this self-contained study is accessible to graduate students with a basic knowledge of real and complex analysis and functional analysis. Chapters can be read independently, with each building from the introductory notes, and the diversity of topics included also means this book can serve as the basis for a variety of graduate courses.
Download or read book Chinese Journal of Contemporary Mathematics written by and published by . This book was released on 1998 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Four Lectures On Real Hp Spaces written by Shanzhen Lu and published by World Scientific. This book was released on 1995-05-09 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the real variable theory of HP spaces briefly and concentrates on its applications to various aspects of analysis fields. It consists of four chapters. Chapter 1 introduces the basic theory of Fefferman-Stein on real HP spaces. Chapter 2 describes the atomic decomposition theory and the molecular decomposition theory of real HP spaces. In addition, the dual spaces of real HP spaces, the interpolation of operators in HP spaces, and the interpolation of HP spaces are also discussed in Chapter 2. The properties of several basic operators in HP spaces are discussed in Chapter 3 in detail. Among them, some basic results are contributed by Chinese mathematicians, such as the decomposition theory of weak HP spaces and its applications to the study on the sharpness of singular integrals, a new method to deal with the elliptic Riesz means in HP spaces, and the transference theorem of HP-multipliers etc. The last chapter is devoted to applications of real HP spaces to approximation theory.
Download or read book written by Tsuruichi Hayashi and published by . This book was released on 1966 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Russian Mathematical Surveys written by and published by . This book was released on 1966 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Interpolation of Linear Operators written by S. G. Krein and published by American Mathematical Soc.. This book was released on 2002-10-21 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Transactions of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1994-11 with total page 822 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Interpolation of Operators written by Colin Bennett and published by Academic Press. This book was released on 1988-04-01 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents interpolation theory from its classical roots beginning with Banach function spaces and equimeasurable rearrangements of functions, providing a thorough introduction to the theory of rearrangement-invariant Banach function spaces. At the same time, however, it clearly shows how the theory should be generalized in order to accommodate the more recent and powerful applications. Lebesgue, Lorentz, Zygmund, and Orlicz spaces receive detailed treatment, as do the classical interpolation theorems and their applications in harmonic analysis.The text includes a wide range of techniques and applications, and will serve as an amenable introduction and useful reference to the modern theory of interpolation of operators.
