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1. CMB 2009 (vol 53 pp. 153)

Niu, Pengcheng; Ou, Yafei; Han, Junqiang
Several Hardy Type Inequalities with Weights Related to Generalized Greiner Operator
In this paper, we establish several weighted $L^p (1\lt p \lt \infty)$ Hardy type inequalities related to the generalized Greiner operator by improving the method of Kombe. Then the best constants in inequalities are discussed by introducing new polar coordinates.

Keywords:generalized Greiner operator, polar coordinates, Hardy inequality
Categories:35B05, 35H99

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