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Characterizations of Hardy-type, Bergman-type and Dirichlet-type spaces on certain classes of complex-valued functions (1410.8283v1)
Published 30 Oct 2014 in math.CV
Abstract: 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.