| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4618341 | Journal of Mathematical Analysis and Applications | 2011 | 8 Pages |
Abstract
We determine the form of polynomially bounded solutions to the Loewner differential equation that is satisfied by univalent subordination chains of the form f(z,t)=etAz+⋯, where A∈L(Cn,Cn) has the property m(A)>0. Here m(A)=min{R〈A(z),z〉:‖z‖=1}. We also give sufficient conditions for g(z,t)=L(f(z,t)) to be polynomially bounded, where f(z,t) is an A-normalized polynomially bounded Loewner chain solution to the Loewner differential equation.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
