Lp−Lq Estimates for Orbital Measures and
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F. Ricci; G. Travaglini
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Article
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1995
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Elsevier Science
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English
⚖ 427 KB
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