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...
| Κύριος συγγραφέας: | |
|---|---|
| Συγγραφή απο Οργανισμό/Αρχή: | |
| Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
| Γλώσσα: | English |
| Έκδοση: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2002.
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| Έκδοση: | 1st ed. 2002. |
| Σειρά: | Lecture Notes in Mathematics,
1785 |
| Θέματα: | |
| Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 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.
