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Bounded subharmonic functions possess the Lebesgue property at each point

Azimbay SadullaevNational University of Uzbekistan, Tashkent, UzbekistanS. A. ImomkulovNavoi State Pedagogical Institute, Navoi, UzbekistanKholmurod RakhimovNational University of Uzbekistan, Tashkent, Uzbekistan
Mathematical Notesjournal2014en
ABI

Abstract

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.

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