Endpoint bounds for a generalized Radon transform
- Autores: Betsy Stovall
- Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 80, Nº 2, 2009, págs. 357-374
- Idioma: inglés
- DOI: 10.1112/jlms/jdp033
- Enlaces
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Resumen
We prove that convolution with affine arclength measure on the curve parametrized by h(t) := (t, t2, . . . , tn) is a bounded operator from Lp(Rn) to Lq(Rn) for the full conjectured range of exponents, improving on a result due to M. Christ. We also obtain nearly sharp Lorentz space bounds.
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