Anisotropic Hardy Spaces and Wavelets - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Anisotropic Hardy Spaces and Wavelets write by Marcin Bownik. This book was released on 2003. Anisotropic Hardy Spaces and Wavelets available in PDF, EPUB and Kindle. Investigates the anisotropic Hardy spaces associated with very general discrete groups of dilations. This book includes the classical isotropic Hardy space theory of Fefferman and Stein and parabolic Hardy space theory of Calderon and Torchinsky.
Pointwise Variable Anisotropic Function Spaces on Rn
Pointwise Variable Anisotropic Function Spaces on Rn - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Pointwise Variable Anisotropic Function Spaces on Rn write by Shai Dekel. This book was released on 2022-04-04. Pointwise Variable Anisotropic Function Spaces on Rn available in PDF, EPUB and Kindle. Spaces of homogeneous type were introduced as a generalization to the Euclidean space and serve as a sufficient setting in which one can generalize the classical isotropic Harmonic analysis and function space theory. This setting is sometimes too general, and the theory is limited. Here, we present a set of flexible ellipsoid covers of Rn that replace the Euclidean balls and support a generalization of the theory with fewer limitations.
Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces
Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces write by Ryan Alvarado. This book was released on 2015-06-09. Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces available in PDF, EPUB and Kindle. Systematically constructing an optimal theory, this monograph develops and explores several approaches to Hardy spaces in the setting of Alhlfors-regular quasi-metric spaces. The text is divided into two main parts, with the first part providing atomic, molecular, and grand maximal function characterizations of Hardy spaces and formulates sharp versions of basic analytical tools for quasi-metric spaces, such as a Lebesgue differentiation theorem with minimal demands on the underlying measure, a maximally smooth approximation to the identity and a Calderon-Zygmund decomposition for distributions. These results are of independent interest. The second part establishes very general criteria guaranteeing that a linear operator acts continuously from a Hardy space into a topological vector space, emphasizing the role of the action of the operator on atoms. Applications include the solvability of the Dirichlet problem for elliptic systems in the upper-half space with boundary data from Hardy spaces. The tools established in the first part are then used to develop a sharp theory of Besov and Triebel-Lizorkin spaces in Ahlfors-regular quasi-metric spaces. The monograph is largely self-contained and is intended for mathematicians, graduate students and professionals with a mathematical background who are interested in the interplay between analysis and geometry.
Convergence and Summability of Fourier Transforms and Hardy Spaces
Convergence and Summability of Fourier Transforms and Hardy Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Convergence and Summability of Fourier Transforms and Hardy Spaces write by Ferenc Weisz. This book was released on 2017-12-27. Convergence and Summability of Fourier Transforms and Hardy Spaces available in PDF, EPUB and Kindle. This book investigates the convergence and summability of both one-dimensional and multi-dimensional Fourier transforms, as well as the theory of Hardy spaces. To do so, it studies a general summability method known as theta-summation, which encompasses all the well-known summability methods, such as the Fejér, Riesz, Weierstrass, Abel, Picard, Bessel and Rogosinski summations. Following on the classic books by Bary (1964) and Zygmund (1968), this is the first book that considers strong summability introduced by current methodology. A further unique aspect is that the Lebesgue points are also studied in the theory of multi-dimensional summability. In addition to classical results, results from the past 20-30 years – normally only found in scattered research papers – are also gathered and discussed, offering readers a convenient “one-stop” source to support their work. As such, the book will be useful for researchers, graduate and postgraduate students alike.
Real-Variable Theory of Musielak-Orlicz Hardy Spaces
Real-Variable Theory of Musielak-Orlicz Hardy Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Real-Variable Theory of Musielak-Orlicz Hardy Spaces write by Dachun Yang. This book was released on 2017-05-09. Real-Variable Theory of Musielak-Orlicz Hardy Spaces available in PDF, EPUB and Kindle. 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.
