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This article is cited in 12 scientific papers (total in 12 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
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
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
Linking options:
https://www.mathnet.ru/eng/mzm41https://doi.org/10.4213/mzm41 https://www.mathnet.ru/eng/mzm/v75/i3/p372
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