RT Journal Article
T1 Interpolating Blaschke products and angular derivatives
A1 Gallardo Gutiérrez, Eva Antonia
AB We show that to each inner function, there corresponds at least one interpolating Blaschke product whose angular derivatives have precisely the same behavior as the given inner function. We characterize the Blaschke products invertible in the closed algebra H-infinity[(b) over bar : b has finite angular derivative everywhere]. We study the most well-known example of a Blaschke product with infinite angular derivative everywhere and show that it is an interpolating Blaschke product. We conclude the paper with a method for constructing thin Blaschke products with infinite angular derivative everywhere.
PB American Mathematical Society
SN 0002-9947
YR 2012
FD 2012
LK https://hdl.handle.net/20.500.14352/43771
UL https://hdl.handle.net/20.500.14352/43771
LA eng
NO Gallardo Gutiérrez, E. A. «Interpolating Blaschke Products and Angular Derivatives». Transactions of the American Mathematical Society, vol. 364, n.o 5, mayo de 2012, pp. 2319-37. DOI.org (Crossref), https://doi.org/10.1090/S0002-9947-2012-05535-8.
NO Gobierno de Aragón research group Análisis Matemático y Aplicaciones
DS Docta Complutense
RD 10 abr 2025