Solution of a Loewner Chain Equation in Several Complex Variables

Abstract

We find a solution to the Loewner chain equation in the case when the infinitesimal generator satisfies h(0,t)=0, Dh(0,t)=A for any linear operator with m(A)>0. We also study the related classes of spirallike mappings, mappings with parametric representation and asymptotically spirallike mappings.

References in corpus (3)

• Resonances in Loewner equations
• An abstract approach to Loewner chains
• Extension operators via semigroups

Cited by in corpus (3)

• Support points for families of univalent mappings on bounded symmetric domains
• Approximation properties of univalent mappings on the unit ball in ${\mathbb{C}}^n$
• Variation of Loewner chains, extreme and support points in the class $S^0$ in higher dimensions