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JOURNALS // Matematicheskii Sbornik // Archive
Mat. Sb., 1999 Volume 190, Number 10, Pages 49–64 (Mi sm432)
This article is cited in 1 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.

UDC: 517.51

MSC: Primary 46E30; Secondary 24C10, 42A16

Received: 17.12.1998

DOI: 10.4213/sm432


 English version: Sbornik: Mathematics, 1999, 190:10, 1449–1463

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© Steklov Math. Inst. of RAS, 2025