1. CMB 2011 (vol 54 pp. 630)
|Mixed Norm Type Hardy Inequalities|
Higher dimensional mixed norm type inequalities involving certain integral operators are characterized in terms of the corresponding lower dimensional inequalities.
Keywords:Hardy inequality, reverse Hardy inequality, mixed norm, Hardy-Steklov operator
2. CMB 2009 (vol 53 pp. 153)
|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