%0 Journal Article
%T Boundedness of a new kind of Toeplitz operator on $2\pi$-periodic holomorphic functions on the upper halfplane
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Ardalani, Mohammad Ali
%A Haftbaradaran, Saeed
%D 2022
%\ 03/01/2022
%V 13
%N 1
%P 2665-2670
%! Boundedness of a new kind of Toeplitz operator on $2\pi$-periodic holomorphic functions on the upper halfplane
%K Toeplitz operator
%K projection
%K $2\pi$ periodic holomorphic functions
%K upper halfplane
%R 10.22075/ijnaa.2021.22314.2349
%X In the present paper, We introduce a new kind of Toeplitz operators on the spaces of $2\pi$ periodic holomorphic functions on the upper halfplane equipped with an integral norm similar to the norm of $L^{p}$ spaces. We prove the boundedness of Toeplitz operators in the case of bounded symbols. Also, we state some open problems for unbounded symbols and other cases in which our spaces are not Hilbert spaces.
%U https://ijnaa.semnan.ac.ir/article_5988_b276decd766b7345496d6cf8aefd7528.pdf