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() () .

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