Modular function spaces and control functions of almost everywhere convergence

Czasopismo : Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
Tytuł artykułu : Modular function spaces and control functions of almost everywhere convergence

Autorzy :
Anioł, G.
Faculty of Mathematics and Computer Science Adam Mickiewicz University, Jana Matejki 48/49, 60-769 Poznań, Poland, ganiol@amu.edu.pl,
Banaś, J.
Department of Mathematics Technical University of Rzeszów W.Pola 2, 35-959 Rzeszów, piejko@prz.rzeszow.pl,
Bedouhene, F.
Depart.Maths.Faculté Sciences, Université de Tizi-Ouzou, Algérie, morsli@ifrance.com,
Benchohra, M.
Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece, antouyas@cc.uci.gr,
Bilgin, T.
Department of Mathematics University of 100.Yil, Van-Turkey,
Cichoń, M.
Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznań, Poland, mcichon@amu.edu.pl,
Derrab, F.
Djillali Liabes University, 22000 Sidi Bel Abbes, Algeria,
Wang, J. C.
Department of Math., Suzhou University Suzhou, 215006, P.R. China,
Kita, H.
Department of Mathematics, Faculty of Education Kagoshima University, Korimoto 1-chome Kagoshima 890-0065, Japan, hkita@edu.kagoshima-u.ac.jp,
Abstrakty : 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 : modular function space, control function, Orlicz space, Lorentz space,
Wydawnictwo : Polskie Towarzystwo Matematyczne
Rocznik : 2001
Numer : [Z] 41
Strony : 99 – 133
Bibliografia :
DOI :
Cytuj : Anioł, G. ,Banaś, J. ,Bedouhene, F. ,Benchohra, M. ,Bilgin, T. ,Cichoń, M. ,Derrab, F. ,Wang, J. C. ,Kita, H. , Modular function spaces and control functions of almost everywhere convergence. Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae [Z] 41/2001
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