V. A. Skvortsov, “The $h$-measure of $M$-sets for a Walsh system”, Mat. Zametki, 21:3 (1977), 335–340; Math. Notes, 21:3 (1977), 186

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Matematicheskie Zametki, 1977, Volume 21, Issue 3, Pages 335–340 (Mi mzm7961)

This article is cited in 4 scientific papers (total in 4 papers)

The

h

$h$ -measure of

M

$M$ -sets for a Walsh system

V. A. Skvortsov

M. V. Lomonosov Moscow State University

Full-text PDF (439 kB) Citations (4)

Abstract: For any nondecreasing function

h (t)

$h(t)$ , given on the positive semiaxis and tending to zero as

t \to 0

$t\to0$ , we construct an example of a perfect

M

$M$ -set for a Walsh system, having a zero

h

$h$ -measure.

Received: 13.01.1976

English version:
Mathematical Notes, 1977, Volume 21, Issue 3, Pages 186–189
DOI: https://doi.org/10.1007/BF01106742

Bibliographic databases:

UDC: 517.5

Language: Russian

Citation: V. A. Skvortsov, “The

h

$h$ -measure of

M

$M$ -sets for a Walsh system”, Mat. Zametki, 21:3 (1977), 335–340; Math. Notes, 21:3 (1977), 186–189

Citation in format AMSBIB

\Bibitem{Skv77}

\by V.~A.~Skvortsov

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

\jour Mat. Zametki

\yr 1977

\vol 21

\issue 3

\pages 335--340

\mathnet{http://mi.mathnet.ru/mzm7961}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=487246}

\zmath{https://zbmath.org/?q=an:0403.42017|0352.42008}

\transl

\jour Math. Notes

\yr 1977

\vol 21

\issue 3

\pages 186--189

\crossref{https://doi.org/10.1007/BF01106742}

Linking options:

https://www.mathnet.ru/eng/mzm7961

https://www.mathnet.ru/eng/mzm/v21/i3/p335

This publication is cited in the following 4 articles:

M. G. Plotnikov, “On Uniqueness Sets for Multiple Walsh Series”, Math. Notes, 81:2 (2007), 234–246
N. N. Kholshchevnikova, “On the category of $\mathcal U$ -sets for series in the Walsh system”, Math. Notes, 53:5 (1993), 539–554
N. A. Bokaev, M. A. Nurkhanov, “Example of a null-series with respect to periodic multiplicative systems”, Math. Notes, 54:6 (1993), 1187–1191
A. A. Talalyan, R. I. Ovsepian, “The representation theorems of D. E. Men'shov and their impact on the development of the metric theory of functions”, Russian Math. Surveys, 47:5 (1992), 13–47

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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