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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 1991 Volume 182, Number 10, Pages 1463–1478 (Mi sm1383)

This article is cited in 9 papers

The space BMO and strong means of Fourier–Walsh series

V. A. Rodin

Voronezh Polytechnic Institute

Abstract: This article is devoted to series in the Walsh–Paley system. In particular, for an integrable function a condition is obtained for $p$-strong summability of the Fourier–Walsh series a.e. on $[0,1]$ along with a uniform analogue for a continuous, function on $[0,1]$.

UDC: 517.512

MSC: 42C10

Received: 15.09.1987 and 06.10.1989


 English version:
Mathematics of the USSR-Sbornik, 1993, 74:1, 203–218

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