26 citations · 75 across the 43 of their papers we have counts for
5 papers · 1 filter
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…
On compact Hankel operators over compact Abelian groups
A. R. Mirotin
We consider compact and connected Abelian group with a linearly ordered dual. Based on the description of the structure of compact Hankel operators over , generalizations of…
On Hausdorff operators on homogeneous spaces of locally compact groups
A. R. Mirotin
Hausdorff operators on the real line and multidimensional Euclidean spaces originated from some classical summation methods. Now it is an active research area. Hausdorff operators…
Hausdorff operators on Lebesgue spaces with positive definite perturbation matrices are non-Riesz
A. R. Mirotin
We consider generalized Hausdorff operators with positive definite and permutable perturbation matrices on Lebesgue spaces and prove that such operators are not Riesz operators pro…