This article is cited in 4 papers

The $h$-measure of $M$-sets for a Walsh system

V. A. Skvortsov

M. V. Lomonosov Moscow State University

Abstract: For any nondecreasing function $h(t)$, given on the positive semiaxis and tending to zero as $t\to0$, we construct an example of a perfect $M$-set for a Walsh system, having a zero $h$-measure.

UDC: 517.5

Received: 13.01.1976

 English version: Mathematical Notes, 1977, 21:3, 186–189

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