Weighted composition operators on spaces of analytic vector-valued Lipschitz functions
Functional Analysis
2016-04-22 v1
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].
Cite
@article{arxiv.1604.06199,
title = {Weighted composition operators on spaces of analytic vector-valued Lipschitz functions},
author = {Kobra Esmaeili},
journal= {arXiv preprint arXiv:1604.06199},
year = {2016}
}