On the regularity of generic Hausdorff-type transformations

2025/08/02 by Mirotin, A. R.
#40C10 (Primary) 43A55 #45P05 #47B38 (Secondary) #47G10 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2508.01452

Abstract

The general notion of a Hausdorff-type operator with a kernel depending on an external variable is introduced and generalizations and analogs of classical results on the regularity of various summation methods are proved for the case of such operators.

Citations

• Boundedness and compactness of Hausdorff operators on Fock spaces
• Hausdorff Operators on Compact Abelian Groups
• Boundedness of Hausdorff operators on Hardy spaces over homogeneous spaces of Lie groups
• Hausdorff Operators on Some Spaces of Holomorphic Functions on the Unit Disc
• Hausdorff operators on Bergman spaces of the upper half plane
• The structure of normal Hausdorff operators on Lebesgue spaces
• Boundedness of Hausdorff operators on Hardy spaces H¹ over locally\n compact groups

Cited by

• Boundedness of Hausdorff-type operators with two-variable kernels on Lebesgue spaces

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