A Representation Theorem for '-Bounded Variation of Functions in the Sense of Riesz

• Autorzy: Aziz W. , Leiva H. , Merentes N. , Rzepka B.
• Języki publikacji: EN

Abstrakty

EN

In this paper we extend the well known Riesz lemma to the class of bounded φ-variation functions in the sense of Riesz defined on a rectangle [...].This concept was introduced in [2], where the authors proved that the space [...] of such functions is a Banach Algebra. Moreover, they characterized also the Nemytskii operator acting in this space. Thus our result creates a continuation of the paper [2].

Słowa kluczowe

EN

bounded variation; function of bounded variation in the sense of Riesz; variations spaces; Banach space; algebra space

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2010
• Tom: Vol. 50, [Z] 2
• Strony: 109--120
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Aziz W.

autor

Leiva H.

autor

Merentes N.

autor

Rzepka B.

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

Bibliografia

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