Abstract
For functions of bounded Hardy’s variation, integrability results for their Fourier transforms are presented and proved in a somewhat different way than before. In order to obtain integrability theorems for multiple trigonometric series with coefficients also of bounded Hardy’s variation, passage relations are elaborated. Unlike those known earlier, they deal only with one variation, the Hardy variation.
| Original language | English |
|---|---|
| Title of host publication | Contemporary Mathematics |
| Publisher | American Mathematical Society |
| Pages | 135-155 |
| Number of pages | 21 |
| DOIs | |
| State | Published - 2016 |
Publication series
| Name | Contemporary Mathematics |
|---|---|
| Volume | 659 |
| ISSN (Print) | 0271-4132 |
| ISSN (Electronic) | 1098-3627 |
Bibliographical note
Publisher Copyright:© 2016 American Mathematical Society.
Keywords
- Bounded variation
- Fourier transform
- Hardy space
- Hardy variation
- Hilbert transform
- Integrability of trigonometric series
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