Maximal function on generalized Lebesgue spaces L^p(⋅) 论文
2004Mathematical Inequalities & Applications引用 553
Advanced Harmonic Analysis ResearchAdvanced Mathematical Modeling in EngineeringAdvanced Banach Space Theory
详细信息
- 发表期刊/会议
- Mathematical Inequalities & Applications
- 发表日期
- 2004-01-01
- 发表年份
- 2004
关键词
Advanced Harmonic Analysis ResearchAdvanced Mathematical Modeling in EngineeringAdvanced Banach Space Theory
摘要
We prove the boundedness of the Hardy-Littlewood maximal function on the generalized Lebesgue space L p() (R d ) under a continuity assumption on p that is weaker than uniform Hlder continuity. We deduce continuity of mollifying sequences and density of C () in W 1,p() () .