Title of article :
SOME RESULTS ON GENERALIZED TOEPLITZ OPERATOR ON GENERALIZED HARDY SPACE
Author/Authors :
AL-SHARIF, SH Department of Mathematics - Yarmouk University - Irbed, Jorda , JEBREEL, Y Department of Mathematics - Al-Jouf University, Saudi Arabi , KHANFER, A Department of Mathematics - Jordan University - Amman, Jorda
Abstract :
In this paper, we define and study some properties of the generalized Hardy
space HF,2, where F is an injective linear transform from L
p
(Π) into L
p
(Π) and Π is
the unit circle in the complex plane C. Also we introduce the concept of a generalized
Toeplitz operator on HF,2 and prove some of its properties. Further results are presented.
Keywords :
Hardy space , Toeplitz operator
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
