Type: Article
Publication Date: 2003-01-01
Citations: 36
DOI: https://doi.org/10.1017/s1474748003000057
For a function , , let be the mean of over the sphere of radius centred at . Given a set of dilations we prove various endpoint bounds for the maximal operator defined by , under some regularity assumptions on .AMS 2000 Mathematics subject classification: Primary 42B25. Secondary 42B20