Natural Science, Mathematics, 2025
ON BOUNDEDNESS OF A CLASS OF FIRST ORDER LINEARDIFFERENTIAL OPERATORS IN THE SPACE OF(n−1)-DIMENSIONALLYCONTINUOUS FUNCTIONS
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Submitted: 2025-02-17; Published: 2025-02-17
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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.