Damped Oscillatory Integrals and Maximal Operators

I. A. Ikromov

Matematičeskie zametki, Tome 78 (2005) no. 6, pp. 833-852.

Résumé

In the present paper, we consider estimates of the Fourier transform of Borel measures concentrated on analytic hypersurfaces and containing a mitigating factor. The mitigating factors are expressed in terms of principal curvatures of the surface. The resulting estimates are applied to investigating the boundedness of the corresponding maximal operators.

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