4 papers · 1 filter
Parameter-dependent inhomogeneous boundary-value problems in Sobolev spaces
Olena Atlasiuk, Vladimir Mikhailets, Jari Taskinen
We study a wide class of linear inhomogeneous boundary-value problems for th order ODE-systems depending on a parameter in a general metric space . The solution…
Quasiconformal symbols and projected composition operators
Sinem Sönmez, Jari Taskinen
We study projected composition operators K_g with quasiconformal symbols g on weighted Bergman spaces on the open unit disc D. If the symbol were conformal, i.e.a Möbius transform…
Pointwise lower bounds in growth spaces with little o conditions
Zeljko Cuckovic, Jari Taskinen
Pointwise lower bounds on the open unit disc $\bbD$ for the sum of the moduli of two analytic functions and (or their derivatives) are known in several cases, like be…
A geometric condition for the invertibility of Toeplitz operators on the Bergman space
Zeljko Cuckovic, Jari Taskinen
Invertibility of Toeplitz operators on the Bergman space and the related Douglas problem are long standing open problems. In this paper we study the invertibility problem under the…