Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6419170 | Journal of Mathematical Analysis and Applications | 2013 | 12 Pages |
Abstract
In this note, we consider Lp and maximal Lp estimates for the generalized Riesz means which are associated with the cylindrical distance function Ï(ξ)=max{|ξâ²|,|ξd+1|}, (ξâ²,ξd+1)âRdÃR. We prove these estimates up to the currently known range of the spherical Bochner-Riesz and its maximal operators. This is done by establishing implications between the corresponding estimates for the spherical Bochner-Riesz and the cylindrical multiplier operators.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Sunghun Choi, Sunggeum Hong, Sanghyuk Lee,