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Matematicheskie Zametki, 2005, Volume 78, Issue 6, Pages 833–852
DOI: https://doi.org/10.4213/mzm2656
(Mi mzm2656)
 

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
References:
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
English version:
Mathematical Notes, 2005, Volume 78, Issue 6, Pages 773–790
DOI: https://doi.org/10.1007/s11006-005-0183-z
Bibliographic databases:
UDC: 517.518.5
Language: Russian
Citation: I. A. Ikromov, “Damped Oscillatory Integrals and Maximal Operators”, Mat. Zametki, 78:6 (2005), 833–852; Math. Notes, 78:6 (2005), 773–790
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/mzm2656
  • https://doi.org/10.4213/mzm2656
  • https://www.mathnet.ru/eng/mzm/v78/i6/p833
  • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:447
    Full-text PDF :225
    References:78
    First page:1
     
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