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

1998
ISBN: 978-3-540-63902-2
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 1679, 120 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 207 g

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Grosse-Erdmann, Karl-Goswin

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Reelle Analysis
• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Inhaltsverzeichnis

The blocking technique.- The sequence spaces c(a, p, q) and d(a, p, q).- Applications to matrix operators and inequalities.- Integral analogues.