4 papers · 1 filter
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…
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…
On boundedness of Hausdorff-type operators on Sobolev spaces
A. R. Mirotin
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 Sobo…
On a general concept of a Hausdorff-type operator
A. R. Mirotin
A unified approach to the concept of a Hausdorff operator is proposed in such a way that a number of classical and new operators feet into the given definition. Conditions are give…