✦ LIBER ✦

Lp−Lq Estimates for Orbital Measures and Radon Transforms on Compact Lie Groups and Lie Algebras

✍ Scribed by F. Ricci; G. Travaglini

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 427 KB
Volume: 129
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.1995.1045

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✦ Synopsis

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 Academic Press. Ins

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