Gallardo Gutiérrez, Eva Antonia2023-06-202023-06-202012Gallardo 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/S0002-9947-2012-05535-8.0002-994710.1090/S0002-9947-2012-05535-8https://hdl.handle.net/20.500.14352/43771We 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.engjournal articlehttps//doi.org/10.1090/S0002-9947-2012-05535-8http://www.ams.org/journals/tran/2012-364-05/S0002-9947-2012-05535-8/S0002-9947-2012-05535-8.pdfrestricted access517Blaschke productInterpolating Blaschke productAngular derivativeAnálisis matemático1202 Análisis y Análisis Funcional