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Matematicheskie Zametki, 2004, Volume 75, Issue 3, Pages 372–383
DOI: https://doi.org/10.4213/mzm41 (Mi mzm41) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Application of Interpolational Methods to the Study of Properties of Functions of Several Variables

E. D. Nursultanov

Kazakhstan Branch of Lomonosov Moscow State University
Full-text PDF (260 kB) Citations (11)
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DOI: https://doi.org/10.4213/mzm41
Abstract: In this paper, interpolation theorems for spaces of functions of several variables are used to generalize and refine Hörmander's theorem on the multipliers of the Fourier transform from $L_p$ to $L_q$ and the Hardy–Littlewood–Paley inequality for a class of multiple Fourier series in the multidimensional case.
Received: 18.11.1998
English version:
Mathematical Notes, 2004, Volume 75, Issue 3, Pages 341–351
DOI: https://doi.org/10.1023/B:MATN.0000023313.03814.2d
Bibliographic databases:
UDC: 517.51
Language: Russian
Citation: E. D. Nursultanov, “Application of Interpolational Methods to the Study of Properties of Functions of Several Variables”, Mat. Zametki, 75:3 (2004), 372–383; Math. Notes, 75:3 (2004), 341–351
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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