%0 Journal Article
%T Littlewood Subordination Theorem and Composition Operators on Function Spaces with Variable Exponents
%J Wavelet and Linear Algebra
%I Vali-e-Asr university of Rafsanjan
%Z 2383-1936
%A Morovatpoor, Ali
%A Abkar, Ali
%D 2023
%\ 08/01/2023
%V 10
%N 1
%P 53-64
%! Littlewood Subordination Theorem and Composition Operators on Function Spaces with Variable Exponents
%K Variable exponent Bergman space
%K Variable exponent Hardy space
%K composition operator
%K Bounded operator
%R 10.22072/wala.2023.1986385.1406
%X This study concerns a detailed analysis of composition operators $C_\varphi$ on the classical Bergman spaces, as well as on the Hardy and Bergman spaces with variable exponents. Here, $\varphi$ is an analytic self-map of the open unit disk in the complex plane.Accordingly, conditions for the boundedness of these operators are obtained. It is worth mentioning that the Littlewood subordination theorem plays a fundamental role in proving the stated theorems in which we use the Rubio de Francia extrapolation theorem.
%U https://wala.vru.ac.ir/article_707163_aa335e671c47a9908d70be3e354be330.pdf