On Classes for Hyperbolic Riemann Surfaces

The Qpspaces of holomorphic functions on the disk, hyperbolic Riemann surfaces or complex unit ball have been studied deeply. Meanwhile, there are a lot of papers devoted to theclasses of meromorphic functions on the disk or hyperbolic Riemann surfaces. In this paper, we prove the nesting property (inclusion relations) ofclasses on hyperbolic Riemann surfaces. The same property for Qp spaces was also established systematically and precisely in earlier work by the authors of this paper.

Jackson's Theorem in Qp Spaces in Polydiscs

Jackson's theorem is an important result in the theory of approximation of function. The purpose of this article is to introduce a new kind of Qp spaces in the unit polydiscs. Jackson's approximation theorem is established in Qp spaces.

Blaschke products, α-curves and Qp spaces

We give necessary and sufficient conditions for Blaschke products with zeros on an

Qp-spaces on bounded symmetric domains

We generalize the theory ofQpspaces, introduced on the unit disc in 1995 by Aulaskari, Xiao and Zhao, to bounded symmetric domains inCd, as well as to analogous Moebius-invariant function spaces and Bloch spaces defined using higher order derivatives; the latter generalization contains new results even in the original context of the unit disc.