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

Proceedings of the Yerevan State University, series Physical and Mathematical Sciences

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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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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences

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Abstract page:	146
Full-text PDF :	43
References:	53

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