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Weighted Littlewood-Paley Theory and Exponential-Square Integrability : Lecture Notes in Mathematics - Michael Wilson

Weighted Littlewood-Paley Theory and Exponential-Square Integrability

Lecture Notes in Mathematics

Paperback Published: 18th October 2007
ISBN: 9783540745822
Number Of Pages: 224

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Littlewood-Paley theory extends some of the benefits of orthogonality to situations where it doesn't make sense by letting certain oscillatory infinite series of functions be controlled in terms of infinite series of non-negative functions. Beginning in the 1980s, it was discovered that this control could be made much sharper. This book offers a gentle, well-motivated introduction to those discoveries, the methods behind them, their consequences, and some of their applications.

From the reviews:

"This engaging book by J. Michael Wilson concentrates on weighted inequalities of the forms ... . The subject matter is presented in a fashion accessible to an advanced graduate student. Proofs of major ... results are usually given in full. ... There are a good number of exercises at the end of each chapter ... . In addition there are many suggestions in the body of the text to prove or further investigate a given result." (Caroline P. Sweezy, Mathematical Reviews, Issue 2008 m)

Some Assumptionsp. 1
An Elementary Introductionp. 9
Exponential Squarep. 39
Many Dimensions; Smoothingp. 69
The Calderon Reproducing Formula Ip. 85
The Calderon Reproducing Formula IIp. 101
The Calderon Reproducing Formula IIIp. 129
Schrodinger Operatorsp. 145
Some Singular Integralsp. 151
Orlicz Spacesp. 161
Goodbye to Good-[lambda]p. 189
A Fourier Multiplier Theoremp. 197
Vector-Valued Inequalitiesp. 203
Random Pointwise Errorsp. 213
Referencesp. 219
Indexp. 223
Table of Contents provided by Ingram. All Rights Reserved.

ISBN: 9783540745822
ISBN-10: 3540745823
Series: Lecture Notes in Mathematics
Audience: General
Format: Paperback
Language: English
Number Of Pages: 224
Published: 18th October 2007
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.01 x 16.66  x 1.4
Weight (kg): 0.38