26 citations · 61 across the 32 of their papers we have counts for
5 papers · 2 filters
The structure of normal Hausdorff operators on Lebesgue spaces
A. R. Mirotin
We consider a generalization of Hausdorff operator and introduce the notion of the symbol of such an operator. Using this notion we describe the structure and investigate important…
Boundedness of Hausdorff operators on Hardy spaces over locally compact groups
Adolf Mirotin
Results of Liflyand and collaborators on the boundedness of Hausdorff operators on the Hardy space over finite-dimensional real space generalized to the case of locally compa…
Perturbation determinants on Banach spaces and operator differentiability for Hirsch functional calculus
Adolf Mirotin
We consider a perturbation determinant for pairs of nonpositive (in a sense of Komatsu) operators on Banach space with nuclear difference and prove a generalization of the importan…
Lifshitz-Krein trace formula for Hirsch functiuonal calculus on Banach spaces
Adolf R Mirotin
We give a simple definition of a spectral shift function for pairs of nonpositive operators on Banach spaces and prove trace formulas of Lifshitz-Kre\uın type for a perturbation of…
Bernstein functions of several semigroup generators on Banach spaces under bounded perturbations. II
A. R. Mirotin
The paper deals with multidimensional Bochner-Phillips functional calculus. In the previous paper by the author bounded perturbations of Bernstein functions of several commuting se…