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Hardy Operators On Euclidean Spaces And Related Topics
In many branches of mathematical analysis and mathematical physics, the Hardy operator and Hardy inequality are fundamentally important and have been intensively studied ever since the pioneer researches. This volume presents new properties of higher-dimensional Hardy operators obtained by the authors and their collaborators over the last decade. Its prime focus is on higher-dimensional Hardy operators that are based on the spherical average form.The key motivation for this monograph is based on the fact that the Hardy operator is generally smaller than the Hardy-Littlewood maximal operator, which leads to, on the one hand, the operator norm of the Hardy operator itself being smaller than the latter. On the other hand, the former characterizing the weight function class or function spaces is greater than the latter.
Functional Analysis, Harmonic Analysis, and Image Processing
This volume is dedicated to the memory of Björn Jawerth. It contains original research contributions and surveys in several of the areas of mathematics to which Björn made important contributions. Those areas include harmonic analysis, image processing, and functional analysis, which are of course interrelated in many significant and productive ways. Among the contributors are some of the world's leading experts in these areas. With its combination of research papers and surveys, this book may become an important reference and research tool. This book should be of interest to advanced graduate students and professional researchers in the areas of functional analysis, harmonic analysis, image processing, and approximation theory. It combines articles presenting new research with insightful surveys written by foremost experts.
Inequalities
Inequalities appear in various fields of natural science and engineering. Classical inequalities are still being improved and/or generalized by many researchers. That is, inequalities have been actively studied by mathematicians. In this book, we selected the papers that were published as the Special Issue ‘’Inequalities’’ in the journal Mathematics (MDPI publisher). They were ordered by similar topics for readers’ convenience and to give new and interesting results in mathematical inequalities, such as the improvements in famous inequalities, the results of Frame theory, the coefficient inequalities of functions, and the kind of convex functions used for Hermite–Hadamard inequalities. The editor believes that the contents of this book will be useful to study the latest results for researchers of this field.
Singular Integrals and Related Topics
This book introduces some important progress in the theory of CalderonOCoZygmund singular integrals, oscillatory singular integrals, and LittlewoodOCoPaley theory over the last decade. It includes some important research results by the authors and their cooperators, such as singular integrals with rough kernels on Block spaces and Hardy spaces, the criterion on boundedness of oscillatory singular integrals, and boundedness of the rough Marcinkiewicz integrals. These results have frequently been cited in many published papers."
Mathematical Reviews
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Sacred Modes of Being in a Postsecular World
How do we talk meaningfully about the sacred in contexts where conventional religious expression has so often lost its power? Inspired by the influential work of David Jasper, this important volume builds on his thinking to identify sacrality in a world where the old religious and secular debates have exhausted themselves and theology struggles for a new language in their wake. Distinguished writers explore here the idea of the sacred as one that exists, paradoxically, in a space that is both possible and impossible: profoundly theological on the one hand, but also deeply this-worldly and irreligious on the other. This is a sacredness that is simultaneously 'present' and 'absent': one which encompasses – as Jasper himself characterises it – 'the impossible possibility of an absolute vision'. The book teaches us that the sacred assumes a renewed potency when fully engaged with the creativity that happens across religion, literature, philosophy and the arts.
The Revival of China （with Pictures）
The book is about the revival of China in the 20th century and the first decade of the 21st century. It has eight parts: (1) The civil revolution in China, (2) The countryside bases, (3) The Long Match of the Red Army, (4) The Anti Japanese War, (5) Decisive civil battles before the establishment of the People’s Republic of China, (6) The Mao Era before the Great Cultural Revolution, (7) The Great Cultural Revolution, and (8) The Reform and opening up. This version of the book is with pictures.
The MAO Era before the Cultural Revolution
This is Part 6 of the book entitled "The Revival of China". The full book is about the revival of China in the 20th century and the first decade of the 21st century. This part of the book records what happened in the first seventeen years of the New China before the Cultural Revolution, including the Korean war, the anti-Rightist Movement, the Great Leap Forward and the Great Famine, and the conflict between MAO and LIU.
