| 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... |
