Characterizations of Hardy-type, Bergman-type and Dirichlet-type spaces   on certain classes of complex-valued functions
  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. 
Shaolin Chen, Antti Rasila and Matti Vuorinen
math.CV