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ON BOUNDEDNESS OF A CLASS OF FIRST ORDER LINEARDIFFERENTIAL OPERATORS IN THE SPACE OF(n−1)-DIMENSIONALLYCONTINUOUS FUNCTIONS

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CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

Abstract

In this article we consider first order linear differential operators in the spaceof(n−1)-dimensionally continuous functions with coefficients having somegrowth near the domain boundary and prove the boundedness of consideredoperators.

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