Topological Structure of the Space of Weighted Composition Operators Between Different Hardy Spaces |
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| Authors: | Kei Ji Izuchi Shûichi Ohno |
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| Institution: | 1. Department of Mathematics, Niigata University, Niigata, 950-2181, Japan
2. Nippon Institute of Technology, Miyashiro, Minami-Saitama, 345-8501, Japan
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| Abstract: | We consider properties related to weighted composition operators boundedly acting from the classical Hardy space H p to H q for \({1 \leq q < p < \infty}\) . Especially, we shall completely determine path connected components in the set of weighted composition operators and explicitly characterize by function-theoretic properties of analytic self-maps. |
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