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
Pages
6
From page
2665
To page
2670
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
Serial Year
2022
Record number
2713821
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