Zobrazeno 1 - 10 of 11 pro vyhledávání: '"S. A. Imomkulov"'
1
α-Subharmonic Functions
Autor: B. I. Abdullaev, S. A. Imomkulov, R. A. Sharipov
Publikováno v: Contemporary Mathematics. Fundamental Directions. 67:620-633
In this paper, we study the class of -subharmonic functions. A number of important properties of -subharmonic functions are proved, and an equivalent, more convenient definition of -subharmonicity is given. The geometric structure of removable singul
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3dc5fbe99ce58acd13a6c42f4bd1455f
https://doi.org/10.22363/2413-3639-2021-67-4-620-633
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4
Bounded subharmonic functions possess the Lebesgue property at each point
Autor: K. Kh. Rakhimov, S. A. Imomkulov, A. S. Sadullaev
Publikováno v: Mathematical Notes. 96:992-995
It is proved that the restriction of a bounded subharmonic function in a domain D ⊂ ℂ to any real line l ⊂ℂ possesses the Lebesgue property at each point of l ∩ D.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::471e31647402c0653c7d67445608c39f
https://doi.org/10.1134/s0001434614110388
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5
Pluripolarity of graphs of Denjoy quasianalytic functions of several variables
Autor: S. A. Imomkulov, Zafar Ibragimov
Publikováno v: Analysis and Mathematical Physics. 5:161-170
In this paper we prove pluripolarity of graphs of Denjoy quasianalytic functions of several variables on the spanning set $$\begin{aligned} T^n = \left\{ z \in {\mathbb C}^n:|z_1|=|z_2|=\dots |z_n|=1\right\} . \end{aligned}$$
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::fe8241578dea04bf95a2e6c3d35b853b
https://doi.org/10.1007/s13324-014-0091-z
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6
Extension of holomorphic and pluriharmonic functions with thin singularities on parallel sections
Autor: A. S. Sadullaev, S. A. Imomkulov
Publikováno v: Proceedings of the Steklov Institute of Mathematics. 253:144-159
The paper is of survey character. We present and discuss recent results concerning the extension of functions that admit holomorphic or plurisubharmonic extension in a fixed direction. These results are closely related to Hartogs’ fundamental theor
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::9ec9f2731b154f3452d548f2382d2843
https://doi.org/10.1134/s0081543806020131
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7
Continuation of separately analytic functions defined on part of a domain boundary
Autor: S. A. Imomkulov, A. S. Sadullaev
Publikováno v: Mathematical Notes. 79:869-877
Let D ⊂ ℂn be a domain with smooth boundary ∂D, let E⊂∂D be a subset of positive Lebesgue measure mes(E) > 0, and let F ⊂ G be a nonpluripolar compact set in a strongly pseudoconvex domain D ⊂ ℂm. We prove that, under an additional co
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::9b814662746836cfb771270febef4a4e
https://doi.org/10.1007/s11006-006-0098-3
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9
On holomorphic continuation of functions defined on a pencil of boundary complex lines
Autor: S. A. Imomkulov
Publikováno v: Izvestiya: Mathematics. 69:345-363
We study domains of holomorphy of functions having thin singularities along a fixed direction. We prove a boundary analogue of Hartogs' theorem on the holomorphic continuation of functions of several variables that admit holomorphic continuation in o
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4dc72b15da44e63e2ccfd7eaffa31fb4
https://doi.org/10.1070/im2005v069n02abeh000532
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