No CrossRef data available.
Article contents
A property of series of holomorphic homogeneous polynomials with Hadamard gaps
Published online by Cambridge University Press: 17 April 2009
Abstract
Recently J. Miao proved that if is a holomorphic function with Hadamard gaps on the open unit disc D then f ∈ Xp if and only if f ∈ Bp if and only if if and if only if where Xp, Bp and denote respectively the class of holomorphic functions on D which satisfy |f′(z)|p(1 − |z|2)p − 1dxdy is a finite measure, a Carleson measure and a little Carleson measure on D. In this paper we give a higher-dimensional version of Miao's result.
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 1996