Weighted Littlewood-Paley theory and exponential-square integrability
著者
書誌事項
Weighted Littlewood-Paley theory and exponential-square integrability
（Lecture notes in mathematics, 1924）
Springer, c2008
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注記
Includes bibliographical references (p. [219]-221) and index
内容説明・目次
内容説明
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.
目次
- 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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