69 citations · 257 across the 37 of their papers we have counts for
5 papers · 1 filter
Equicontinuous Families of Markov Operators in View of Asymptotic Stability
Sander C. Hille, Tomasz Szarek, Maria A. Ziemlanska
Relation between equicontinuity, the so called e property and stability of Markov operators is studied. In particular, it is shown that any asymptotically stable Markov operator wi…
The Central Limit Theorem for function systems on the circle
Tomasz Szarek, Anna Zdunik
The Central Limit Theorem for Iterated Functions Systems on the circle is proved. We study also ergodicity of such systems.
On a Schur-like property for spaces of measures
Sander C. Hille, Tomasz Szarek, Daniel T. H. Worm +1
A Banach space has the Schur property when every weakly convergent sequence converges in norm. We prove a Schur-like property for measures: if a sequence of finite signed Borel mea…
Stability of iterated function systems on the circle
Tomasz Szarek, Anna Zdunik
We prove that any Iterated Function System of circle homeomorphisms with at least one of them having dense orbit, is asymptotically stable. The corresponding Perron-Frobenius opera…
Lusin area integrals related to Jacobi expansions
Tomasz Z. Szarek
We investigate mixed Lusin area integrals associated with Jacobi trigonometric polynomial expansions. We prove that these operators can be viewed as vector-valued Calderón-Zygmund…