Article
Infinitesimal generators of semigroups with prescribed boundary fixed points
Author/s | Contreras Márquez, Manuel Domingo
Díaz Madrigal, Santiago Gumenyuk, Pavel |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada II |
Publication Date | 2020-08 |
Deposit Date | 2020-09-09 |
Published in |
|
Abstract | We study infinitesimal generators of one-parameter semigroups in the unit disk D having prescribed boundary regular fixed points. Using an explicit representation of such infinitesimal generators in combination with ... We study infinitesimal generators of one-parameter semigroups in the unit disk D having prescribed boundary regular fixed points. Using an explicit representation of such infinitesimal generators in combination with Krein–Milman Theory we obtain new sharp inequalities relating spectral values at the fixed points with other important quantities having dynamical meaning. We also give a new proof of the classical Cowen–Pommerenke inequalities for univalent self-maps of D. |
Project ID. | PGC2018-094215-B-100
FQM-133 |
Citation | Contreras Márquez, M.D., Díaz Madrigal, S. y Gumenyuk, P. (2020). Infinitesimal generators of semigroups with prescribed boundary fixed points. Analysis and Mathematical Physics, 10 (36) |
Files | Size | Format | View | Description |
---|---|---|---|---|
AMP_contreras-marquez_2020_inf ... | 575.0Kb | [PDF] | View/ | |
This item appears in the following collection(s)
Except where otherwise noted, this item's license is described as: Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Related items
Showing items related by title, author, creator and subject.
-
Article
Monochromatic geometric k-factors for bicolored point sets with auxiliary points
Garijo Royo, Delia; Garrido Vizuete, María de los Angeles; Grima Ruiz, Clara Isabel; Márquez Pérez, Alberto; Moreno González, Auxiliadora; Portillo Fernández, José Ramón; Reyes Colume, Pedro; Robles Arias, Rafael; Valenzuela Muñoz, Jesús (2014)Given a bicolored point set S, it is not always possible to construct a monochromatic geometric planar k-factor of S. We ...
-
Article
Structure of the fixed point set and common fixed points of asymptotically nonexpansive mappings
Domínguez Benavides, Tomás; Lorenzo Ramírez, Josefa (American Mathematical Society, 2001)Let X be a Banach space, C a weakly compact convex subset of X and T : C → C an asymptotically nonexpansive mapping. Under ...
-
Article
Fixed points, selections and common fixed points for nonexpansive-type mappings
Espínola García, Rafael; Lorenzo Ramírez, Josefa; Nicolae, Adriana (Elsevier, 2011-10-15)We study the existence of fixed points in the context of uniformly convex geodesic metric spaces, hyperconvex spaces and ...