Derivative and antiderivative operators and the size of complex domains

• Autorzy: Luis Bernal-González
• Języki publikacji: EN

Abstrakty

EN

We prove some conditions on a complex sequence for the existence of universal functions with respect to sequences of certain derivative and antiderivative operators related to it. These operators are defined on the space of holomorphic functions in a complex domain. Conditions for the equicontinuity of those sequences are also studied. The conditions depend upon the size of the domain.

Słowa kluczowe

EN

universal function; equicontinuous sequence; derivative operator; antiderivative operator; MacLane's theorem; size of a domain

Kategorie tematyczne

• 47B38: Operators on function spaces (general)
• 30E10: Approximation in the complex domain

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1994
• Tom: 59
• Numer: 3
• Strony: 267-274

Daty

wydano

1994

otrzymano

1993-07-16

Twórcy

autor

Luis Bernal-González

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

Bibliografia

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