1 citations · 1 across the 6 of their papers we have counts for
6 papers
On the general form of linear functionals on the Hardy spaces over compact Abelian groups and some of its applications
A. R. Mirotin
The celebrated Fefferman's theorems on the general form of linear functionals on the Hardy space over the circle group is generalized to the case of an arbitrary compact Abel…
The Markov-Stieltjes transform as an operator
A. R. Mirotin, I. S. Kovalyova
We prove that the Markov-Stieltjes transform is a bounded non compact Hankel operator on Hardy space with Hilbert matrix with respect to the standard Schauder basis of …
Hankel Operators over Compact Abelian Groups
A. R. Mirotin, E. Yu. Kuzmenkova
Two variants of generalizations of Hankel operators to the case of linearly ordered abelian groups are considered, criteria of the boundedness and compactness of these operators ar…
Some topics in the perturbation theory for a functional calculus of closed operators on Banach spaces
A. R. Mirotin
The wark is a contribution to the functional calculus constructed by of the author and A. A. Atvinovskii of closed operators on Banach spaces. The calculus is based on Markov and r…
A sufficient condition for global operator monotonicity for functions in several variables
A. R. Mirotin
The note contains two remarks to the authors note (Mathematical Notes, Vol. 94, 2013, p. 154 -- 156; in Russian) which was also devoted to sufficient conditions of global operator…
Bounded perturbations of Bernstein functions of several operator variables
A. R. Mirotin
The paper deals with (multidimensional and one-dimensional) Bochner-Phillips functional calculus. Bounded perturbations of Bernstein functions of (one or several commuting) semigro…