SOME NORM INEQUALITIES IN MUSIELAK-ORLICZ SPACES

作者：Maeda Fumi Yuki^*; Sawano Yoshihiro; Shimomura Tetsu

来源：Annales Academiae Scientiarum Fennicae-Mathematica, 2016, 41(2): 721-744.

DOI：10.5186/aasfm.2016.4148

• Musielak-Orlicz space
• Riesz potential
• weighted inequality
• singular integral operator
• Kerman-Sawyer inequality
• Olsen inequality

Our aim in this paper is to establish various norm inequalities in Musielak-Orlicz spaces. We give a generalization of a result due to Cruz-Uribe, Fiorenza, Martell and Perez and apply it to obtain norm inequalities for classical operators as well as an Olsen inequality in Musielak-Orlicz spaces.

• 出版日期2016