Convergence of iterates of Lasota-Mackey-Tyrcha operators
We provide sufficient and necessary conditions for asymptotic periodicity of iterates of strong Feller stochastic operators.
Convolution operators in infinite dimension.
Convolution operators on spaces of holomorphic functions
A class of convolution operators on spaces of holomorphic functions related to the Hadamard multiplication theorem for power series and generalizing infinite order Euler differential operators is introduced and investigated. Emphasis is placed on questions concerning injectivity, denseness of range and surjectivity of the operators.
Corrections to the paper “The boundedness of certain sublinear operator in the weighted variable Lebesgue spaces“
In this paper the author proved the boundedness of the multidimensional Hardy type operator in weighted Lebesgue spaces with variable exponent. As an application he proved the boundedness of certain sublinear operators on the weighted variable Lebesgue space. The proof of the boundedness of the multidimensional Hardy type operator in weighted Lebesgue spaces with a variable exponent does not contain any mistakes. But in the proof of the boundedness of certain sublinear operators on the weighted...
Corrigenda to: "Optimal domains for the kernel operator associated with Sobolev's inequality" (Studia Math. 158 (2003), 131-152)
Corrigendum to "On the spectral multiplicity of a direct sum of operators" (Colloq. Math. 104 (2006), 105-112)
Cotype of operators from C(K).
Criteria for a measurable function to generate integral operators.
Criterion of the integrality of the product of some linear operators.
Cyclic behavior of linear fractional composition operators.
Cyclicity of the adjoint of weighted composition operators on the Hilbert space of analytic functions
In this paper, we discuss the hypercyclicity, supercyclicity and cyclicity of the adjoint of a weighted composition operator on a Hilbert space of analytic functions.