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arXiv:2406.10668 [math.FA]AbstractReferencesReviewsResources

On boundedness of Hausdorff-type operators on Sobolev spaces

A. R. Mirotin

Published 2024-06-15Version 1

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.

Categories: math.FA
Subjects: 44A05, 44A30, 42B35, 47G10
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