The role of BMOA in the boundedness of weighted composition operators on the unit ball |
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| Authors: | Chao Zhang Guang Fu Cao |
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| Institution: | 1. College of Mathematics and Information Sciences, Guangzhou University, Guangzhou, 510006, P. R. China
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| Abstract: | We study the weighted composition operators W h,φ on Hardy space $H^2 (\mathbb{B})$ whenever h ∈ BMOA (resp. h ∈ VMOA). Analogous results are given for $H^p (\mathbb{B})$ spaces and the scale of weighted Bergman spaces. In the latter case, BMOA is replaced by the Bloch space (resp. VMOA by the little Bloch space). |
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| Keywords: | Weighted composition operator boundedness compactness BMOA VMOA |
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