Functions of two variables with bounded φ-variation in the sense of Riesz

• Autorzy: Aziz W. , Leiva H. , Merentes N. , Sánchez J. L.
• Języki publikacji: EN

Abstrakty

EN

In this paper we introduce the concept of bounded φ- variation function, in the sense of Riesz, dened in a rectangle [wzór]. We prove that the linear space [wzór] generated by the class [wzór] of all φ-bounded variation functions is a Banach algebra. Moreover, we give necessary and sucient conditions for the Nemytskii operator acting in the space [wzór] to be globally Lipschitz.

Słowa kluczowe

EN

Banach algebra; bounded variation; bounded function; sense of Riesz

PL

algebra Banacha; wariacja ograniczona; funkcja ograniczona; twierdzenie Riesza

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2010
• Tom: Vol. 32
• Strony: 5--23
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Aziz W.

autor

Leiva H.

autor

Merentes N.

autor

Sánchez J. L.

• Escuela de Matematicas, Universidad Central de Venezuela, Caracas-Venezuela|,

Bibliografia

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