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

2014/10/30 by Chen, Shaolin, Rasila, Antti, Vuorinen, Matti
#30D55 #58J10 #Complex Variables (math.CV) #FOS: Mathematics #Primary: 32A10 #Secondary: 30C65

paper · doi:10.48550/arxiv.1410.8283

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.

Related

• On characterizations of Bloch-type, Hardy-type and Lipschitz-type spaces
• Characterizations of Dirichlet-type Spaces
• Hardy classes, integral operators, and duality on spaces of homogeneous type
• Some Banach spaces of Dirichlet series
• Derivatives characterization of Bergman-Orlicz spaces and applications