SOME RESULTS ON GENERALIZED TOEPLITZ OPERATOR ON GENERALIZED HARDY SPACE

SH.AL-SHARIF, Y.JEBREEL, A.KHANFER

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Abstract

In this paper, we dene and study some properties of the generalized Hardy space HF;2; where F is an injective linear transform from Lp () into Lp () and  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.