$L^{p}-L^{p’}$ estimates for overdetermined Radon transforms
نویسندگان
چکیده
منابع مشابه
Estimates for Overdetermined Radon Transforms
We prove several variations on the results in Ricci and Travaglini[RT] concerning L−L ′ bounds for convolution with all rotations of a measure supported by a fixed convex curve in R. Estimates are obtained for averages over higherdimensional convex (nonsmooth) hypersurfaces, smooth k-dimensional surfaces, and nontranslation-invariant families of surfaces. We compare the approach of [RT], based ...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2007
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-07-03953-0