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

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.

MSC: Primary 30H05; Secondary 46E15

Received: 03.05.2013
Accepted: 30.05.2013

Language: English