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Lecture Notes in Mathematics

The Blocking Technique, Weighted Mean Operators and Hardy's Inequality

Authors: Grosse-Erdmann, Karl-Goswin

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  • ISBN 978-3-540-69664-3
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About this book

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 (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook $34.99
price for USA in USD (gross)
  • ISBN 978-3-540-69664-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.95
price for USA in USD
  • ISBN 978-3-540-63902-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
The Blocking Technique, Weighted Mean Operators and Hardy's Inequality
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1679
Copyright
1998
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-69664-3
DOI
10.1007/BFb0093486
Softcover ISBN
978-3-540-63902-2
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XII, 120
Topics