Harmonic analysis : real-variable methods, orthogonality, and oscillatory integrals
著者
書誌事項
Harmonic analysis : real-variable methods, orthogonality, and oscillatory integrals
Princeton University Press, 1995, c1993
2nd print., with corr. and additions
- タイトル別名
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Monographs in harmonic analysis
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注記
Includes bibliography (p. 645-678) and indexes
"Princeton mathematical series ; 43"--CIP
内容説明・目次
内容説明
This book contains an exposition of some of the main developments of the last twenty years in the following areas of harmonic analysis: singular integral and pseudo-differential operators, the theory of Hardy spaces, L\sup\ estimates involving oscillatory integrals and Fourier integral operators, relations of curvature to maximal inequalities, and connections with analysis on the Heisenberg group.
目次
PrefaceGuide to the ReaderPrologue3IReal-Variable Theory7IIMore About Maximal Functions49IIIHardy Spaces87IVH[superscript 1] and BMO139VWeighted Inequalities193VIPseudo-Differential and Singular Integral Operators: Fourier Transform228VIIPseudo-Differential and Singular Integral Operators: Almost Orthogonality269VIIIOscillatory Integrals of the First Kind329IXOscillatory Integrals of the Second Kind375XMaximal Operators: Some Examples433XIMaximal Averages and Oscillatory Integrals467XIIIntroduction to the Heisenberg Group527XIIIMore About the Heisenberg Group587Bibliography645Author Index679Subject Index685
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