Composition Operators On Some The Spaces Of Functions

In this paper, We study boundedness and compactness for weighted composition operators from the Hardy space into the Bloch space on the open unit disk and from Hardy to Bloch-type spaces of the upper half-plane. We also discuss the spectra of a composition operator on the Bloch space and the Growth space on the half-plane.In the first chapter, we discuss some related research ground of weighted composition operators, and introduce the main results.In the second chapter, we discuss boundedness and compactness of weighted com-position operator from the Hardy spaces into the Bloch spaces on the open unit disk.In the third chapter, we discuss the boundedness and compactness of weighted com-position operator on Bloch Spaces of upper half-planeIn the fourth chapter, we discuss boundedness of weighted composition operator from the Hardy space into the Growth space and the Bloch space on the half-plane.In the fifth chapter, we discuss boundedness of product of Volterra type operators and composition operators from the Hardy space to the Zygmund space on the upper half-plane.In the sixth chapter, we discuss the spectra of composition operator on the Bloch space and the Growth space on the half-plane...