In this paper, we establish two integral inequalities for Hardy operator's conjugate operator at the endpoint on n-dimensional space. The operator Hn is bounded from Lxα1 (Gn) to Lxβq (Gn) with the bound explic...In this paper, we establish two integral inequalities for Hardy operator's conjugate operator at the endpoint on n-dimensional space. The operator Hn is bounded from Lxα1 (Gn) to Lxβq (Gn) with the bound explicitly worked out and the similar result holds for Hn*.展开更多
基金Supported in part by the Natural Science Foundation of China under grant 11071250 and 11271162
文摘In this paper, we establish two integral inequalities for Hardy operator's conjugate operator at the endpoint on n-dimensional space. The operator Hn is bounded from Lxα1 (Gn) to Lxβq (Gn) with the bound explicitly worked out and the similar result holds for Hn*.