English

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

Complex Variables 2014-10-31 v1

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.

Keywords

Cite

@article{arxiv.1410.8283,
  title  = {Characterizations of Hardy-type, Bergman-type and Dirichlet-type spaces on certain classes of complex-valued functions},
  author = {Shaolin Chen and Antti Rasila and Matti Vuorinen},
  journal= {arXiv preprint arXiv:1410.8283},
  year   = {2014}
}

Comments

27 pages