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Mixed norm estimate for Radon transform on weightedLpspaces

✍ Scribed by Ashisha Kumar; Swagato K. Ray


Book ID
107589403
Publisher
Indian Academy of Sciences
Year
2010
Tongue
English
Weight
167 KB
Volume
120
Category
Article
ISSN
0253-4142

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We prove Sobolev inequalities for singular and fractional Radon transforms which are defined as in a paper of Phong and Stein under certain hypothesis on the corresponding Lagrangian ((N\*C)$) which does not necessarily have to be a canonical graph. In the proof we use oscillatory integrals, the Cot