Modular function spaces and control functions of almost everywhere convergence

• Autorzy: Kita H. , Miyamoto T. , Yoneda K.
• Języki publikacji: EN

Abstrakty

EN

The modular spaces have been studied by many authors. In this paper we consider the modular function spaces which provide a generalization of Banach function spaces, and discuss some relations between properties of these spaces and control functions of almost everywhrere convergence of functions in modular function spaces. We give a necessary and sufficient condition for a control function to be in the same modular function space as functions appearing in almost everywhere convergence.

Słowa kluczowe

EN

modular function space; control function; Orlicz space; Lorentz space

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2001
• Tom: [Z] 41
• Strony: 99--133
• Opis fizyczny: bibliogr. 16 poz.

Twórcy

autor

Kita H.

autor

Miyamoto T.

autor

Yoneda K.

• Department of Mathematics, Faculty of Education Kagoshima University, Korimoto 1-chome Kagoshima 890-0065, Japan,