26 citations · 56 across the 20 of their papers we have counts for
31 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…
Hausdorff Operators on Compact Abelian Groups
A. R. Mirotin
Necessary and sufficient conditions are given for boundedness of Hausdorff operators on generalized Hardy spaces , real Hardy space , , and $…
Hausdorff Operators on Some Spaces of Holomorphic Functions on the Unit Disc
A. R. Mirotin
We introduce Hausdorff operators over the unit disc and give conditions for boundedness of such operator in Bloch, Bergman, and Hardy spaces on the disc. Identity approximation by…
A Hausdorff Operator on Lebesgue Space With Commuting Perturbation Matrices Is a Non-Riesz Operator
A. R. Mirotin
We consider a generalization of Hausdorff operators on Lebesgue spaces and under natural conditions prove that such an operator is not a Riesz operator provided it is non-zero. In…
On the boundedness of Hausdorff operators on real Hardy spaces over homogeneous spaces of groups with local doubling property
A. R. Mirotin
We give conditions for boundedness of Hausdorff operators on real Hardy spaces over homogeneous spaces of locally compact groups with local doubling property. The special cas…