|
This article is cited in 1 scientific paper (total in 2 paper)
Averaging of Fourier–Haar coefficients
S. Montgomery-Smitha, E. M. Semenovb a University of Missouri-Columbia
b Voronezh State University
Abstract:
An operator defined by averaging of the Fourier–Haar coefficients of a function is studied. A criterion for the boundedness of such an operator acting in a pair of rearrangement-invariant spaces is derived.
Received: 17.12.1998
Citation:
S. Montgomery-Smith, E. M. Semenov, “Averaging of Fourier–Haar coefficients”, Sb. Math., 190:10 (1999), 1449–1463
Linking options:
https://www.mathnet.ru/eng/sm432https://doi.org/10.1070/sm1999v190n10ABEH000432 https://www.mathnet.ru/eng/sm/v190/i10/p49
|
|