Zobrazeno 1 - 10 of 13 pro vyhledávání: '"M. S. Mel′nikov"'
2
$ C^1$-extension of subharmonic functions from closed Jordan domains in $ \mathbb R^2$
Autor: M S Mel'nikov, P V Paramonov
Publikováno v: Izvestiya: Mathematics. 68:1165-1178
For Jordan domains in of Dini-Lyapunov type, we show that any function subharmonic in? and of class can be extended to a?function subharmonic and of class? on the whole of? with a?uniform estimate of its gradient. We construct a?large class of Jordan
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::be080e172223b8dc628b0fb7796fcd02
https://doi.org/10.1070/im2004v068n06abeh000514
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3
$ C^1$-approximation and extension of subharmonic functions
Autor: Joan Verdera, P. V. Paramonov, M S Mel'nikov
Publikováno v: Sbornik: Mathematics. 192:515-535
Criteria for the uniform approximability in , , of the gradients of -subharmonic functions by the gradients of similar functions that are harmonic in neighbourhoods of a fixed compact set are obtained. The semiadditivity of the capacity related to th
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::09e787c33e0d7e151a300c7943a96129
https://doi.org/10.1070/sm2001v192n04abeh000556
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4
Analytic capacity: discrete approach and curvature of measure
Autor: M S Mel'nikov
Publikováno v: Sbornik: Mathematics. 186:827-846
Certain discrete `computable' quantities are introduced, and their interconnections and relations with analytic capacity are found out. The concept of curvature of a measure is introduced, which emerges naturally in the computations of the -norm of t
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b2f8f58debba57e5467f6f2c6f17141f
https://doi.org/10.1070/sm1995v186n06abeh000045
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5
APPROXIMATIONS OF THE EXPONENTIAL FUNCTION AND RELATIVE CLOSENESS OF STABLE SIGNALS
Autor: M S Mel'nikov, Yu A Dreĭzin, L A Balashov
Publikováno v: Mathematics of the USSR-Sbornik. 74:291-307
The results presented here are based on the use of approximations of analytic functions in certain questions involving numerical methods for physical equations. The concepts of relative closeness and of stability of signals are introduced. A simple m
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::338b9a187e997920ec98e7f191535c4c
https://doi.org/10.1070/sm1993v074n02abeh003348
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6
A CRITERION FOR POINTS TO BELONG TO THE SAME GLEASON PART OF THE ALGEBRAR(X)
Autor: M S Mel'nikov
Publikováno v: Mathematics of the USSR-Izvestiya. 11:1109-1117
In this paper necessary and sufficient conditions in terms of analytic capacity are found in order that two points of a compact set X belong to the same Gleason part of the algebra R(X).Bibliography: 9 titles.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f29e84f1afe05153378fba90abf24d0a
https://doi.org/10.1070/im1977v011n05abeh001761
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8
ON INTERPOLATION SETS FOR THE ALGEBRA $ R(X)$
Autor: K Val'des Kastro, M S Mel'nikov
Publikováno v: Mathematics of the USSR-Izvestiya. 11:308-316
In this paper a connection is established between the behavior of the series remainder (where is the annulus , and is analytic capacity) and the Gleason distance in the algebra , as .It is proved that if the compact set , is the set of all peak point
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::9c16c19ec2ccccd11fe001f748f0b0f5
https://doi.org/10.1070/im1977v011n02abeh001716
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