Characterization of the k−convexity property in the Besicovitch-Orlicz space of almost periodic functions

• Autorzy: Fazia Bedouhene , Mohamed Morsli
• Języki publikacji: EN

Abstrakty

EN

In the present paper, we give criteria for the k−convexity of the Besicovitch-Orlicz space of almost periodic functions. Namely, it is shown that k-convexity is equivalent to strict convexity and reflexivity of this space in the case of Luxemburg norm.

Słowa kluczowe

EN

modular function space; nonlinear integral operator; Cauchy conservative family of operators

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2005
• Tom: 45
• Numer: 1

Daty

wydano

2005

online

2017-12-19

Twórcy

autor

Fazia Bedouhene

autor

Mohamed Morsli

Identyfikatory

DOI

10.14708/cm.v45i1.5224