TY - JOUR
ID - 5988
TI - Boundedness of a new kind of Toeplitz operator on $2\pi$-periodic holomorphic functions on the upper halfplane
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN - 2008-6822
AU - Ardalani, Mohammad Ali
AU - Haftbaradaran, Saeed
AD - Department of Mathematics, Faculty of Science, University of Kurdistan, Sanandaj, Iran
AD - Department of mathematics, Faculty of Science, University of Kurdistan, Sanandaj, Iran
Y1 - 2022
PY - 2022
VL - 13
IS - 1
SP - 2665
EP - 2670
KW - Toeplitz operator
KW - projection
KW - $2\pi$ periodic holomorphic functions
KW - upper halfplane
DO - 10.22075/ijnaa.2021.22314.2349
N2 - 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.
UR - https://ijnaa.semnan.ac.ir/article_5988.html
L1 - https://ijnaa.semnan.ac.ir/article_5988_b276decd766b7345496d6cf8aefd7528.pdf
ER -