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...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer,
[2002]
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1785. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- 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.