Title of article :
Boundedness of a new kind of Toeplitz operator on 2π-periodic holomorphic functions on the upper halfplane
Author/Authors :
Ardalani, Mohammad Ali Department of Mathematics - Faculty of Science - University of Kurdistan, Sanandaj, Iran , Haftbaradaran, Saeed Department of mathematics - Faculty of Science - University of Kurdistan, Sanandaj, Iran
Abstract :
In the present paper, We introduce a new kind of Toeplitz operators on the spaces of 2π periodic holomorphic functions on the upper halfplane equipped with an integral norm similar to the norm of Lp 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.
Keywords :
Toeplitz operator , projection , 2π periodic holomorphic functions , upper halfplane
Journal title :
International Journal of Nonlinear Analysis and Applications
