Estimates for singular integrals and extrapolation
Shuichi Sato
Studia Mathematica, Tome 192 (2009), p. 219-233 / Harvested from The Polish Digital Mathematics Library
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We study singular integrals with rough kernels, which belong to a class of singular Radon transforms. We prove certain estimates for the singular integrals that are useful in an extrapolation argument. As an application, we prove Lp boundedness of the singular integrals under a certain sharp size condition on their kernels.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:284759 
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     title = {Estimates for singular integrals and extrapolation},
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     year = {2009},
     pages = {219-233},
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     language = {en},
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Shuichi Sato. Estimates for singular integrals and extrapolation. Studia Mathematica, Tome 192 (2009) pp. 219-233. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm192-3-2/