English

On the regularity of generic Hausdorff-type transformations

Functional Analysis 2025-08-05 v1

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.

Keywords

Cite

@article{arxiv.2508.01452,
  title  = {On the regularity of generic Hausdorff-type transformations},
  author = {A. R. Mirotin},
  journal= {arXiv preprint arXiv:2508.01452},
  year   = {2025}
}
R2 v1 2026-07-01T04:31:14.382Z