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.
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. Hardy Spaces on Homogeneous Groups available in PDF, EPUB and Kindle.
Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28 - 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. (MN-28), Volume 28 write by Gerald B. Folland. This book was released on 2020-12-08. Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28 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.
Hardy Inequalities on Homogeneous Groups
Hardy Inequalities 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 Inequalities on Homogeneous Groups write by Michael Ruzhansky. This book was released on 2019-07-02. Hardy Inequalities on Homogeneous Groups available in PDF, EPUB and Kindle. This open access book provides an extensive treatment of Hardy inequalities and closely related topics from the point of view of Folland and Stein's homogeneous (Lie) groups. The place where Hardy inequalities and homogeneous groups meet is a beautiful area of mathematics with links to many other subjects. While describing the general theory of Hardy, Rellich, Caffarelli-Kohn-Nirenberg, Sobolev, and other inequalities in the setting of general homogeneous groups, the authors pay particular attention to the special class of stratified groups. In this environment, the theory of Hardy inequalities becomes intricately intertwined with the properties of sub-Laplacians and subelliptic partial differential equations. These topics constitute the core of this book and they are complemented by additional, closely related topics such as uncertainty principles, function spaces on homogeneous groups, the potential theory for stratified groups, and the potential theory for general Hörmander's sums of squares and their fundamental solutions. This monograph is the winner of the 2018 Ferran Sunyer i Balaguer Prize, a prestigious award for books of expository nature presenting the latest developments in an active area of research in mathematics. As can be attested as the winner of such an award, it is a vital contribution to literature of analysis not only because it presents a detailed account of the recent developments in the field, but also because the book is accessible to anyone with a basic level of understanding of analysis. Undergraduate and graduate students as well as researchers from any field of mathematical and physical sciences related to analysis involving functional inequalities or analysis of homogeneous groups will find the text beneficial to deepen their understanding.
Hardy Inequalities on Homogeneous Groups
Hardy Inequalities 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 Inequalities on Homogeneous Groups write by Durvudkhan Suragan. This book was released on 2020-10-08. Hardy Inequalities on Homogeneous Groups available in PDF, EPUB and Kindle. This open access book provides an extensive treatment of Hardy inequalities and closely related topics from the point of view of Folland and Stein's homogeneous (Lie) groups. The place where Hardy inequalities and homogeneous groups meet is a beautiful area of mathematics with links to many other subjects. While describing the general theory of Hardy, Rellich, Caffarelli-Kohn-Nirenberg, Sobolev, and other inequalities in the setting of general homogeneous groups, the authors pay particular attention to the special class of stratified groups. In this environment, the theory of Hardy inequalities becomes intricately intertwined with the properties of sub-Laplacians and subelliptic partial differential equations. These topics constitute the core of this book and they are complemented by additional, closely related topics such as uncertainty principles, function spaces on homogeneous groups, the potential theory for stratified groups, and the potential theory for general Hörmander's sums of squares and their fundamental solutions. This monograph is the winner of the 2018 Ferran Sunyer i Balaguer Prize, a prestigious award for books of expository nature presenting the latest developments in an active area of research in mathematics. As can be attested as the winner of such an award, it is a vital contribution to literature of analysis not only because it presents a detailed account of the recent developments in the field, but also because the book is accessible to anyone with a basic level of understanding of analysis. Undergraduate and graduate students as well as researchers from any field of mathematical and physical sciences related to analysis involving functional inequalities or analysis of homogeneous groups will find the text beneficial to deepen their understanding. This work was published by Saint Philip Street Press pursuant to a Creative Commons license permitting commercial use. All rights not granted by the work's license are retained by the author or authors.
