Real-Variable Theory of Hardy Spaces Associated with Generalized Herz Spaces of Rafeiro and Samko - 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 Hardy Spaces Associated with Generalized Herz Spaces of Rafeiro and Samko write by Yinqin Li. This book was released on 2023-02-14. Real-Variable Theory of Hardy Spaces Associated with Generalized Herz Spaces of Rafeiro and Samko available in PDF, EPUB and Kindle. The real-variable theory of function spaces has always been at the core of harmonic analysis. In particular, the real-variable theory of the Hardy space is a fundamental tool of harmonic analysis, with applications and connections to complex analysis, partial differential equations, and functional analysis. This book is devoted to exploring properties of generalized Herz spaces and establishing a complete real-variable theory of Hardy spaces associated with local and global generalized Herz spaces via a totally fresh perspective. This means that the authors view these generalized Herz spaces as special cases of ball quasi-Banach function spaces. In this book, the authors first give some basic properties of generalized Herz spaces and obtain the boundedness and the compactness characterizations of commutators on them. Then the authors introduce the associated Herz–Hardy spaces, localized Herz–Hardy spaces, and weak Herz–Hardy spaces, and develop a complete real-variable theory of these Herz–Hardy spaces, including their various maximal function, atomic, molecular as well as various Littlewood–Paley function characterizations. As applications, the authors establish the boundedness of some important operators arising from harmonic analysis on these Herz–Hardy spaces. Finally, the inhomogeneous Herz–Hardy spaces and their complete real-variable theory are also investigated. With the fresh perspective and the improved conclusions on the real-variable theory of Hardy spaces associated with ball quasi-Banach function spaces, all the obtained results of this book are new and their related exponents are sharp. This book will be appealing to researchers and graduate students who are interested in function spaces and their applications.
Exact and Approximate Solutions for Mathematical Models in Science and Engineering
Exact and Approximate Solutions for Mathematical Models in Science and Engineering - 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 Exact and Approximate Solutions for Mathematical Models in Science and Engineering write by Christian Constanda. This book was released on . Exact and Approximate Solutions for Mathematical Models in Science and Engineering available in PDF, EPUB and Kindle.
Hardy Spaces on Homogeneous Groups
Hardy Spaces on Homogeneous Groups - 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 Homogeneous Groups write by Gerald B. Folland. This book was released on 1982-06-21. Hardy Spaces on Homogeneous Groups available in PDF, EPUB and Kindle. The object of this monograph is to give an exposition of the real-variable theory of Hardy spaces (HP spaces). This theory has attracted considerable attention in recent years because it led to a better understanding in Rn of such related topics as singular integrals, multiplier operators, maximal functions, and real-variable methods generally. Because of its fruitful development, a systematic exposition of some of the main parts of the theory is now desirable. In addition to this exposition, these notes contain a recasting of the theory in the more general setting where the underlying Rn is replaced by a homogeneous group. The justification for this wider scope comes from two sources: 1) the theory of semi-simple Lie groups and symmetric spaces, where such homogeneous groups arise naturally as "boundaries," and 2) certain classes of non-elliptic differential equations (in particular those connected with several complex variables), where the model cases occur on homogeneous groups. The example which has been most widely studied in recent years is that of the Heisenberg group.
Anisotropic Hardy Spaces and Wavelets
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.
Integral Operators in Non-Standard Function Spaces
Integral Operators in Non-Standard Function 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 Integral Operators in Non-Standard Function Spaces write by Vakhtang Kokilashvili. This book was released on 2016-05-12. Integral Operators in Non-Standard Function Spaces available in PDF, EPUB and Kindle. This book, the result of the authors’ long and fruitful collaboration, focuses on integral operators in new, non-standard function spaces and presents a systematic study of the boundedness and compactness properties of basic, harmonic analysis integral operators in the following function spaces, among others: variable exponent Lebesgue and amalgam spaces, variable Hölder spaces, variable exponent Campanato, Morrey and Herz spaces, Iwaniec-Sbordone (grand Lebesgue) spaces, grand variable exponent Lebesgue spaces unifying the two spaces mentioned above, grand Morrey spaces, generalized grand Morrey spaces, and weighted analogues of some of them. The results obtained are widely applied to non-linear PDEs, singular integrals and PDO theory. One of the book’s most distinctive features is that the majority of the statements proved here are in the form of criteria. The book is intended for a broad audience, ranging from researchers in the area to experts in applied mathematics and prospective students.
