Abstract
We establish Lp estimates for certain class of maximal functions with kernels in Lq ( S n-1). As a consequence of such Lp estimates, we obtain the Lp boundedness of our maximal functions when their kernels are in L( logL) 1/2 ( S n-1) or in the block space Bq 0,-1/2 ( S n-1), q>1. Several applications of our results are also presented.
| Original language | English |
|---|---|
| Article number | 56272 |
| Journal | Journal of Inequalities and Applications |
| Volume | 2006 |
| DOIs | |
| Publication status | Published - 2006 |
| Externally published | Yes |
ASJC Scopus subject areas
- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics