Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5775259 | Journal of Mathematical Analysis and Applications | 2017 | 23 Pages |
Abstract
This paper is devoted to the study of semigroups of composition operators and semigroups of holomorphic mappings. We establish conditions under which these semigroups can be extended in their parameter to a sector given a priori. We show that the size of this sector can be controlled by the image properties of the infinitesimal generator, or, equivalently, by the geometry of the so-called associated planar domain. We also give a complete characterization of all composition operators acting on the Hardy space Hp on the right half-plane.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Mark Elin, Fiana Jacobzon,