Hadamard product of functions subordinated to homography

• Autorzy: Piejko Krzysztof , Sokół Janusz , Stankiewicz Jan
• Języki publikacji: EN

Abstrakty

EN

We consider convolution properties of regular functions using the concept of subordination. Let P(X, Y) denote the class of regular functions subordinated to the homography 1+Xz/1-Yz. It is known [10] that for some complex numbers A,B,C,D if is an element of P(A,B) and g is an element of P(C,D), then there exist X and Y such that f *p is an element of P(X,Y). In this paper we verify the reverse question: if for each h is an element of P(X, Y) it is possible to find suitable f is an element of P(A, B) and g is an element of P(C7, D) such that h=f*g.

Słowa kluczowe

EN

bounded functions; Hadamard product; convolution of functions

PL

funkcje ograniczone; iloczyn Hadamarda; sploty funkcji

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
• Rocznik: 2004
• Tom: z. 27 [212]
• Strony: 49--59
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Piejko Krzysztof

• Department of Mathematics, Rzeszów University of Technoloy, Rzeszów, Poland

autor

Sokół Janusz

• Department of Mathematics, Rzeszów University of Technoloy, Rzeszów, Poland

autor

Stankiewicz Jan

• Department of Mathematics, Rzeszów University of Technoloy, Rzeszów, Poland
• Institute of Mathematic, University of Rzeszów, Rzeszów, Poland

Bibliografia

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