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Matematicheskie Zametki, 2018, Volume 104, Issue 2, Pages 200–215
DOI: https://doi.org/10.4213/mzm11600 (Mi mzm11600) 		 
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
Full-text PDF (548 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm11600
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.
Funding agency Grant number
Исполнительный комитет по координации науки и технологий при КМ Республики Узбекистан ОТ-Ф-4-69
Received: 24.03.2017
Revised: 28.11.2017
English version:
Mathematical Notes, 2018, Volume 104, Issue 2, Pages 218–230
DOI: https://doi.org/10.1134/S0001434618070234
Bibliographic databases:
Document Type: Article
UDC: 517.518.5
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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