Pointwise Convergence of Fourier Series
This book contains a detailed exposition of Carleson-Hunt theorem following the proof of Carleson: to this day this is the only one giving better bounds. It points out the motivation of every step in the proof. Thus the Carleson-Hunt theorem becomes accessible to any analyst.The book also contains t...
保存先:
| 第一著者: | |
|---|---|
| フォーマット: | Livre numérique |
| 言語: | Anglais |
| 出版事項: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| シリーズ: | Lecture notes in mathematics
1785 |
| 主題: | |
| オンライン･アクセス: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| 注記: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Pointwise convergence of Fourier series, Juan Arias de Reyna, 2002, Berlin, Springer, 1 vol. (XVIII-175 p.), Lecture notes in mathematics, 3-540-43270-1 • Pointwise Convergence of Fourier Series, Texte imprimé, 9783662184127 |
目次:
- Part I. Fourier series and Hilbert Transform
- Hardy-Littlewood maximal function
- Fourier Series
- Hilbert Transform
- Part II. The Carleson-Hunt Theorem
- The Basic Step
- Maximal inequalities
- Growth of Partial Sums
- Carleson Analysis of the Function
- Allowed pairs
- Pair Interchange Theorems
- All together
- Part III. Consequences
- Some spaces of functions
- The Maximal Operator of Fourier series.