The blocking technique : weighted mean operators and Hardy's inequality
Author(s)
Bibliographic Information
The blocking technique : weighted mean operators and Hardy's inequality
（Lecture notes in mathematics, 1679）
Springer, c1998
- : pbk
Available at / 85 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
pbk. : alk. paperL/N||LNM||1679RM980127
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Etchujima library, Tokyo University of Marine Science and Technology自然
: pbk410.8||L 1||1679188129
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
: pbk515.7/G9142070435531
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Note
Includes bibliographical references (p. [105]-110) and index
Description and Table of Contents
Description
This book presents the first comprehensive treatment of the blocking technique which consists in transforming norms in section form into norms in block form, and vice versa. Such norms appear throughout analysis. The blocking technique is a powerful, yet elementary, tool whose usefulnes is demonstrated in the book. In particular, it is shown to lead to the solution of three recent problems of Bennett concerning the inequalities of Hardy and Copson. The book is addressed to researchers and graduate students. An interesting feature is that it contains a dictionary of transformations between section and block norms and will thus be useful to researchers as a reference text. The book requires no knowledge beyond an introductory course in functional analysis.
Table of Contents
The blocking technique.- The sequence spaces c(a, p, q) and d(a, p, q).- Applications to matrix operators and inequalities.- Integral analogues.
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