Abstract
We apply the Fourier transform technique and a modified version of E. Stein's interpolation theorem communicated by L. Grafakos, to obtain sharp L p {L{p}} - L q {L{q}} estimates for the Radon transform and more general convolution-type fractional integrals with the kernels having singularity on the paraboloids.
| Original language | English |
|---|---|
| Pages (from-to) | 863-881 |
| Number of pages | 19 |
| Journal | Forum Mathematicum |
| Volume | 35 |
| Issue number | 3 |
| DOIs | |
| State | Published - 1 May 2023 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2023 Walter de Gruyter GmbH, Berlin/Boston.
Keywords
- Fractional integrals
- Radon transforms
- norm estimates
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