Weighted Littlewood-Paley theory and exponential-square integrability
Author(s)
Bibliographic Information
Weighted Littlewood-Paley theory and exponential-square integrability
（Lecture notes in mathematics, 1924）
Springer, c2008
Available at / 58 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||1924200003619635
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Note
Includes bibliographical references (p. [219]-221) and index
Description and Table of Contents
Description
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.
Table of Contents
- Some Assumptions.- An Elementary Introduction.- Exponential Square.- Many Dimensions
- Smoothing.- The Calderon Reproducing Formula I.- The Calderon Reproducing Formula II.- The Calderon Reproducing Formula III.- Schroedinger Operators.- Some Singular Integrals.- Orlicz Spaces.- Goodbye to Good-?.- A Fourier Multiplier Theorem.- Vector-Valued Inequalities.- Random Pointwise Errors.
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