Classical and modern Fourier analysis

Classical and modern Fourier analysis
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发表时间:
2003-06
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通讯作者:
L. Grafakos
L. Grafakos
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其他
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作者:
L. Grafakos

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序言1. L p空间和插值2.极大函数、傅立叶变换和分布。3.环面上的傅立叶分析4.卷积型奇异积分。5. Littlewood-Paley理论和乘数6.光滑性与函数空间7. BMO和Carleson措施。8.非卷积型奇异积分。9.加权不等式10. Fourier积分的有界性和收敛性。参考书目。符号索引。指数.
Prolegomena. 1. L p Spaces and Interpolation. 2. Maximal Functions, Fourier Transform, and Distributions. 3. Fourier Analysis on the Torus. 4. Singular Integrals of Convolution Type. 5. Littlewood-Paley Theory and Multipliers. 6. Smoothness and Function Spaces. 7. BMO and Carleson Measures. 8. Singular Integrals of Nonconvolution Type. 9. Weighted Inequalities. 10. Boundedness and Convergence of Fourier Integrals. Bibliography. Index of Notation. Index.