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This article is cited in 12 scientific papers (total in 12 papers)
Damped Oscillatory Integrals and Maximal Operators
I. A. Ikromov A. Navoi Samarkand State University
Abstract:
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.
Received: 22.10.2004
Citation:
I. A. Ikromov, “Damped Oscillatory Integrals and Maximal Operators”, Mat. Zametki, 78:6 (2005), 833–852; Math. Notes, 78:6 (2005), 773–790
Linking options:
https://www.mathnet.ru/eng/mzm2656https://doi.org/10.4213/mzm2656 https://www.mathnet.ru/eng/mzm/v78/i6/p833
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Abstract page: | 447 | Full-text PDF : | 225 | References: | 78 | First page: | 1 |
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