On boundedness of Hausdorff-type operators on Sobolev spaces

Published 15 Jun 2024 in math.FA | (2406.10668v1)

Abstract: A new notion of a Hausdorff-type operator on function spaces over domains in Euclidean spaces is introduced, and a sufficient condition for the boundedness of this operator on Sobolev spaces is proved. It is shown that this condition cannot be weakened in general.

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Authors (1)

A. R. Mirotin

Citations (2)

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