Abstract
We introduce an approach to modular interpolation in this paper. By using this interpolation, we establish the modular inequalities for the Fourier transform, the Laplace transform, the Hankel transform and the oscillatory integral operators. Moreover, we also obtain the modular Fourier restriction theorem. Copyright © 2017 EMS Publishing House.
| Original language | English |
|---|---|
| Pages (from-to) | 349-368 |
| Journal | Rendiconti Lincei - Matematica e Applicazioni |
| Volume | 28 |
| Issue number | 2 |
| Early online date | May 2017 |
| DOIs | |
| Publication status | Published - 2017 |
Citation
Ho, K.-P. (2017). Modular interpolation and modular estimates of the Fourier transform and related operators. Rendiconti Lincei - Matematica e Applicazioni, 28(2), 349-368.Keywords
- Modular inequality
- Fourier transform
- Interpolation
- Hankel transform
- Oscillatory integrals
- Fourier restriction