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arXiv · 1604.06199

Weighted composition operators on spaces of analytic vector-valued Lipschitz functions

Kobra Esmaeili
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Abstract

Let {\phi} be an analytic self-map of D and be an analytic operator-valued function on D, where D is the unit disk. We provide necessary and sufficient conditions for the boundedness and compactness of weighted composition operators W_{\psi,\phi} on Lip_A(D;X;\alpha) and lip_A(D;X;{\alpha}), the spaces of analytic X-valued Lipschitz functions f, where X is a complex Banach space and {\alpha} is in (0, 1].

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Kobra Esmaeili. 2016-04-21. Weighted composition operators on spaces of analytic vector-valued Lipschitz functions. https://arxiv.org/abs/1604.06199

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