THE WEIGHTED HARDYS INEQUALITY FOR NONINCREASING FUNCTIONS

Authors
STEPANOV VD
Citation
Vd. Stepanov, THE WEIGHTED HARDYS INEQUALITY FOR NONINCREASING FUNCTIONS, Transactions of the American Mathematical Society, 338(1), 1993, pp. 173-186
Citations number
13
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Transactions of the American Mathematical Society → ACNP
ISSN journal
00029947
Volume
338
Issue
1
Year of publication
1993
Pages
173 - 186
Database
ISI
SICI code
0002-9947(1993)338:1<173:TWHIFN>2.0.ZU;2-6
Abstract
The purpose of this paper is to give an alternative proof of recent re sults of M. Arino and B. Muckenhoupt [1] and E. Sawyer [8], concerning Hardy's inequality for nonincreasing functions and related applicatio ns to the boundedness of some classical operators on general Lorentz s paces. Our approach will extend the results of [1, 8) to the values of the parameters which are inaccessible by the methods of these papers.