Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9502684 | Journal of Mathematical Analysis and Applications | 2005 | 14 Pages |
Abstract
In this paper, we study the Lp boundedness of certain maximal operators on product domains with rough kernels in L(logL). We prove that our operators are bounded on Lp for all 2⩽p<â. Moreover, we show that our condition on the kernel is optimal in the sense that the space L(logL) cannot be replaced by L(logL)r for any r<1. Our results resolve a problem left open in [Y. Ding, A note on a class of rough maximal operators on product domains, J. Math. Anal. Appl. 232 (1999) 222-228].
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Ahmad Al-Salman,