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2012•Taiwanese Journal of MathematicsOpen access

DIFFERENCES OF WEIGHTED COMPOSITION OPERATORS FROM $H^\infty$ TO BLOCH SPACE

Takuya Hosokawa, Shûichi Ohno

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Abstract

We consider the boundedness and compactness of the differences of two weighted composition operators acting from the Banach space of bounded analytic functions on the open unit disk to the Bloch space. In the sequel, we will present some explicit examples to bring our reseach into forcus.

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We consider the boundedness and compactness of the differences of two weighted composition operators acting from the Banach space of bounded analytic functions on the open unit disk to the Bloch space. In the sequel, we will present some explicit examples to bring our reseach into forcus.

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Available abstract

We consider the boundedness and compactness of the differences of two weighted composition operators acting from the Banach space of bounded analytic functions on the open unit disk to the Bloch space. In the sequel, we will present some explicit examples to bring our reseach into forcus.

Key concepts: Bloch space, Mathematics, Unit disk, Compact space, Bounded function, Composition (language), Space (punctuation), Banach space

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