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This article is cited in 1 scientific paper (total in 1 paper)
On properties of certain classical operators occurring in Fourier analysis
L. V. Zhizhiashvili, G. E. Tkebuchava Tbilisi Ivane Javakhishvili State University
Abstract:
Properties of conjugate functions, Hilbert transforms, and certain maximal operators occurring in Fourier analysis in weighted Lebesgue spaces are established. For functions of several variables in Orlicz spaces the divergence in measure of the Cesáro and the Abel means of the conjugate trigonometric series, and the question of the existence of conjugate functions are investigated.
Received: 26.09.2003
Citation:
L. V. Zhizhiashvili, G. E. Tkebuchava, “On properties of certain classical operators occurring in Fourier analysis”, Sb. Math., 195:10 (2004), 1395–1412
Linking options:
https://www.mathnet.ru/eng/sm851https://doi.org/10.1070/SM2004v195n10ABEH000851 https://www.mathnet.ru/eng/sm/v195/i10/p3
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