WEIGHTED INEQUALITY OF THE HARDY OPERATORS

Abstract

Hardy operator 인 I(2), T(1), T(2)에 대한 strong and weak type부등식을 위한 필요충분조건을 줄 것이다. 그리고 strong type 부등식에 대한 응용으로, 2차원 Hilbert transform의 weighted inequality를 보일것이다.;We give necessary and sufficient conditions for the strong and weak type inequalities for the Hardy operators I(2), T(1) and T(2). As an application pf the weighted inequalities of Hardy operators, we give sufficient conditions for weighted inequalities for the 2-dimensional Hibert transform.