Hardy Inequalities on Homogeneous Groups

Hardy Inequalities on Homogeneous Groups
Author :
Publisher : Springer
Total Pages : 579
Release :
ISBN-10 : 9783030028954
ISBN-13 : 303002895X
Rating : 4/5 (54 Downloads)

Book Synopsis Hardy Inequalities on Homogeneous Groups by : Michael Ruzhansky

Download or read book Hardy Inequalities on Homogeneous Groups written by Michael Ruzhansky and published by Springer. This book was released on 2019-07-02 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Related Books

Hardy Inequalities on Homogeneous Groups
Language: en
Pages: 579
Authors: Michael Ruzhansky
Categories: Mathematics
Type: BOOK - Published: 2019-07-02 - Publisher: Springer

DOWNLOAD EBOOK

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
Hardy-Type Inequalities
Language: en
Pages: 351
Authors: B. Opic
Categories:
Type: BOOK - Published: 1990-01-01 - Publisher:

DOWNLOAD EBOOK

Weighted Inequalities of Hardy Type
Language: en
Pages: 380
Authors: Alois Kufner
Categories: Mathematics
Type: BOOK - Published: 2003 - Publisher: World Scientific

DOWNLOAD EBOOK

Inequalities play an important role in almost all branches of mathematics as well as in other areas of science and engineering. This book surveys the present st
The Analysis and Geometry of Hardy's Inequality
Language: en
Pages: 277
Authors: Alexander A. Balinsky
Categories: Mathematics
Type: BOOK - Published: 2015-10-20 - Publisher: Springer

DOWNLOAD EBOOK

This volume presents advances that have been made over recent decades in areas of research featuring Hardy's inequality and related topics. The inequality and i
Frontiers in Functional Equations and Analytic Inequalities
Language: en
Pages: 746
Authors: George A. Anastassiou
Categories: Mathematics
Type: BOOK - Published: 2019-11-23 - Publisher: Springer Nature

DOWNLOAD EBOOK

This volume presents cutting edge research from the frontiers of functional equations and analytic inequalities active fields. It covers the subject of function