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This article is cited in 6 scientific papers (total in 6 papers)
Estimates of Oscillatory Integrals with a Damping Factor
I. A. Ikromov, Sh. A. Muranov A. Navoi Samarkand State University
Abstract:
Estimates of the Fourier transform of measures concentrated on analytic hypersurfaces containing a damping factor are considered. The solution of the Sogge and Stein problem on the optimal decrease of the Fourier transform of measures with a damping factor for the particular class of analytic surfaces of three-dimensional space is given.
Keywords:
oscillatory integral, Fourier transform, damping factor, maximal operator.
Received: 24.03.2017 Revised: 28.11.2017
Citation:
I. A. Ikromov, Sh. A. Muranov, “Estimates of Oscillatory Integrals with a Damping Factor”, Mat. Zametki, 104:2 (2018), 200–215; Math. Notes, 104:2 (2018), 218–230
Linking options:
https://www.mathnet.ru/eng/mzm11600https://doi.org/10.4213/mzm11600 https://www.mathnet.ru/eng/mzm/v104/i2/p200
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Abstract page: | 321 | Full-text PDF : | 61 | References: | 48 | First page: | 7 |
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