Geodesic
Bounded Subharmonic Functions Possess the Lebesgue Property at Each Point
Matematičeskie zametki, Tome 96 (2014) no. 6, pp. 921-925

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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, thin set, thin point, Borel set, Diophantine number, logarithmic capacity.
Mots-clés : Lebesgue point 
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     author = {A. S. Sadullaev and S. A. Imomkulov and K. Kh. Rakhimov},
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     journal = {Matemati\v{c}eskie zametki},
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A. S. Sadullaev; S. A. Imomkulov; K. Kh. Rakhimov. Bounded Subharmonic Functions Possess the Lebesgue Property at Each Point. Matematičeskie zametki, Tome 96 (2014) no. 6, pp. 921-925. http://geodesic.mathdoc.fr/item/MZM_2014_96_6_a11/