Universality of derivative and antiderivative operators with holomorphic coefficients

• Autorzy: María del Carmen Calderón-Moreno
• Języki publikacji: EN

Abstrakty

EN

We prove some conditions on a sequence of functions and on a complex domain for the existence of universal functions with respect to sequences of certain derivative and antiderivative operators related to them. Conditions for the equicontinuity of those families of operators are also studied. The conditions depend upon the "size" of the domain and functions. Some earlier results about multiplicative complex sequences are extended.

Kategorie tematyczne

• 47B38: Operators on function spaces (general)
• 30E10: Approximation in the complex domain
• 47E05: Ordinary differential operators (should also be assigned at least one other classification number in section 47)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2001
• Tom: 77
• Numer: 3
• Strony: 197-207

Daty

wydano

2001

Twórcy

autor

María del Carmen Calderón-Moreno

• Departamento de Análisis Matemático, Facultad de Matemáticas, apdo. 1160, Avenida de Reina Mercedes, 41080 Sevilla, Spain

Identyfikatory

DOI

10.4064/ap77-3-1