2 papers
math.FA2025
On the regularity of generic Hausdorff-type transformations
A. R. Mirotin
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…
math.FA2025
Boundedness of Hausdorff-type operators with two-variable kernels on Lebesgue spaces
A. R. Mirotin
A general concept of a Hausdorff-type operator that absorbs all types of operators bearing the name `` Hausdorff operator'' and many others is considered. The characteristic featur…