The weighted Hardy’s inequality for nonincreasing functions

Stepanov, Vladimir D.

doi:10.1090/S0002-9947-1993-1097171-4

The weighted Hardy’s inequality for nonincreasing functions
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by Vladimir D. Stepanov PDF

Trans. Amer. Math. Soc. 338 (1993), 173-186 Request permission

Abstract:

The purpose of this paper is to give an alternative proof of recent results of M. Arino and B. Muckenhoupt [1] and E. Sawyer [8], concerning Hardy’s inequality for nonincreasing functions and related applications to the boundedness of some classical operators on general Lorentz spaces. Our approach will extend the results of [1,8] to the values of the parameters which are inaccessible by the methods of these papers.

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