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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2013, Issue 2, Pages 8–14 (Mi uzeru86)  
Mathematics

On boundedness of a class of first order linear differential operators in the space of $(n-1)$-dimensionally continuous functions

V. Zh. Dumanyan

Yerevan State University
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Abstract: In this article we consider first order linear differential operators in the space of $(n-1)$-dimensionally continuous functions with coefficients having some growth near the domain boundary and prove the boundedness of considered operators.
Keywords: bounded differential operator, first order differential operator, $(n-1)$-dimensionally continuous function.
Received: 03.05.2013
Accepted: 30.05.2013
Document Type: Article
MSC: Primary 30H05; Secondary 46E15
Language: English
Citation: V. Zh. Dumanyan, “On boundedness of a class of first order linear differential operators in the space of $(n-1)$-dimensionally continuous functions”, Proceedings of the YSU, Physical and Mathematical Sciences, 2013, no. 2, 8–14
Citation in format AMSBIB
\Bibitem{Dum13}
\by V.~Zh.~Dumanyan
\paper On boundedness of a class of first order linear differential operators in the space of $(n-1)$-dimensionally continuous functions
\jour Proceedings of the YSU, Physical and Mathematical Sciences
\yr 2013
\issue 2
\pages 8--14
\mathnet{http://mi.mathnet.ru/uzeru86}
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