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Matematicheskie Zametki, 2014, Volume 96, Issue 6, Pages 921–925
DOI: https://doi.org/10.4213/mzm10377 (Mi mzm10377) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Bounded Subharmonic Functions Possess the Lebesgue Property at Each Point

A. S. Sadullaeva, S. A. Imomkulovb, K. Kh. Rakhimova

a National University of Uzbekistan named after M. Ulugbek, Tashkent
b Navoi State Pedagogical Institute
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DOI: https://doi.org/10.4213/mzm10377
Abstract: It is proved that the restriction of a bounded subharmonic function in a domain $D\subset\nobreak \mathbb C$ to any real line $l\subset\mathbb C$ possesses the Lebesgue property at each point of $l\cap D$.
Keywords: subharmonic function, Lebesgue property, Lebesgue point, thin set, thin point, Borel set, Diophantine number, logarithmic capacity.
Received: 26.10.2013
Revised: 04.03.2013
English version:
Mathematical Notes, 2014, Volume 96, Issue 6, Pages 992–995
DOI: https://doi.org/10.1134/S0001434614110388
Bibliographic databases:
Document Type: Article
UDC: 517.518.1+517.574
Language: Russian
Citation: A. S. Sadullaev, S. A. Imomkulov, K. Kh. Rakhimov, “Bounded Subharmonic Functions Possess the Lebesgue Property at Each Point”, Mat. Zametki, 96:6 (2014), 921–925; Math. Notes, 96:6 (2014), 992–995
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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