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arxiv: 1410.8283 · v1 · pith:5SBFO7SInew · submitted 2014-10-30 · 🧮 math.CV

Characterizations of Hardy-type, Bergman-type and Dirichlet-type spaces on certain classes of complex-valued functions

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keywords certainspacesbergman-typecharacterizationsclassescomplex-valueddirichlet-typefunctions
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In this paper, we continue our investigation of function spaces on certain classes of complex-valued functions. In particular, we give characterizations on Hardy-type, Bergman-type and Dirichlet-type spaces. Furthermore, we present applications of our results to certain nonlinear PDEs.

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