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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1977 Volume 103(145), Number 1(5), Pages 69–111 (Mi sm2800)

This article is cited in 4 papers

Estimates for the subharmonic difference of subharmonic functions. II

I. F. Krasichkov-Ternovskii


Abstract: Various estimates for a subharmonic difference of subharmonic functions are derived from a fundamental inequality proved in part I of this paper. In situations where the majorant is given in terms of the distance from the boundary, the estimates obtained are those developed by N. K. Nikol'skii for harmonic functions in the unit disc.
Bibliography: 8 titles.

UDC: 517.53

MSC: 31A05, 30A04

Received: 09.02.1976


 English version:
Mathematics of the USSR-Sbornik, 1977, 32:1, 59–97

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© Steklov Math. Inst. of RAS, 2026