Abstract:
This article considers the question of the change in behavior of a subharmonic function on $m$-dimensional Euclidean space $\mathbf R^m$ ($m\geqslant2$) under a transformation of its associated measure. Here the transformation of the measure is generated by a Borel-measurable mapping of $\mathbf R^m$ into itself.
Bibliography: 12 titles.
\Bibitem{Kha84}
\by B.~N.~Khabibullin
\paper Comparison of subharmonic functions by means of their associated measures
\jour Math. USSR-Sb.
\yr 1986
\vol 53
\issue 2
\pages 523--539
\mathnet{http://mi.mathnet.ru/eng/sm2098}
\crossref{https://doi.org/10.1070/SM1986v053n02ABEH002935}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=770904}
\zmath{https://zbmath.org/?q=an:0603.31006|0576.31003}
Linking options:
https://www.mathnet.ru/eng/sm2098
https://doi.org/10.1070/SM1986v053n02ABEH002935
https://www.mathnet.ru/eng/sm/v167/i4/p522
This publication is cited in the following 6 articles:
E. G. Kudasheva, B. N. Khabibullin, “Variation of subharmonic function under transformation of its Riesz measure”, Zhurn. matem. fiz., anal., geom., 3:1 (2007), 61–94
B. N. Khabibullin, “An approximation theorem for entire functions of
exponential type and stability of zero sequences”, Sb. Math., 195:1 (2004), 135–148
B. N. Khabibullin, “The theorem on the least majorant and its applications. II. Entire and meromorphic functions of finite order”, Russian Acad. Sci. Izv. Math., 42:3 (1994), 479–500
A. B. Sekerin, “On the representation of analytic functions of several variables by exponential series”, Russian Acad. Sci. Izv. Math., 40:3 (1993), 503–527
B. N. Khabibullin, “On the type of entire and meromorphic functions”, Russian Acad. Sci. Sb. Math., 77:2 (1994), 293–301
B. N. Khabibullin, “Balayage on a system of rays and entire functions of completely regular growth”, Math. USSR-Izv., 38:1 (1992), 179–197
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