Let \(\mu\) be an invariant measure on a regular orbit in a compact Lie group or in a Lie algebra. We prove sharp \(L^{\prime \prime}-L^{4}\) estimates for the convolution operators defined through \(\mu\). We also obtain similar results for the related Radon transform on the Lie algebra. 1945 Acade
Sharp estimates for Lebesgue constants on compact Lie groups
โ Scribed by Saverio Giulini; Giancarlo Travaglini
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 444 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0022-1236
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