No CrossRef data available.
Article contents
On radial variation of holomorphic functions with lp Taylor coefficients
Published online by Cambridge University Press: 20 January 2009
Abstract
Suppose is holomorphic in Δ = {z:|z|<l} and (an)∈lp where 1≦p≦2. We prove that for k=1,2,…, and almost every θ. This result is sharp in the following sense: Let p∈[1,2] and ε(r) be a positive function defined on [0,1] such that limr→1-ε(r)=0. Then there exists a function holomorphic in Δ with (an)∈lp such that
for each k>1/p.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 33 , Issue 3 , October 1990 , pp. 475 - 481
- Copyright
- Copyright © Edinburgh Mathematical Society 1990