Several Hardy Type Inequalities with Weights Related to Generalized Greiner Operator

[摘要] In this paper, we establish several weighted $L^p (1lt p lt infty)$Hardy type inequalities related to the generalized Greiner operatorby improving the method of Kombe. Then the bestconstants in inequalities are discussed by introducing new polarcoordinates.

[学科分类] 数学（综合）

[关键词] generalized Greiner operator;polar coordinates;Hardy inequality