On weighted hardy inequalities on semiaxis for functions vanishing at the endpoints

On weighted hardy inequalities on semiaxis for functions vanishing at the endpoints

We study the weighted Hardy inequalities on the semiaxis of the form ‖Fu‖2≤C‖F(k)v‖2  (1) for functions vanishing at the endpoints together with derivatives up to the order k−1. The case k=2 is completely characterized....

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Bibliographic Details
Main Authors: Vladimir Stepanov, Masha Nasyrova
Format: Article
Language:English
Published: SpringerOpen 1997-01-01
Series:Journal of Inequalities and Applications
Subjects:
Weighted Hardy’s inequality.
Online Access:http://dx.doi.org/10.1155/S1025583497000155
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spelling doaj-de4dadd3d1aa4faba98efb593c7c0d702020-11-25T01:39:47ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X1997-01-011322323810.1155/S1025583497000155On weighted hardy inequalities on semiaxis for functions vanishing at the endpointsVladimir StepanovMasha NasyrovaWe study the weighted Hardy inequalities on the semiaxis of the form ‖Fu‖2≤C‖F(k)v‖2  (1) for functions vanishing at the endpoints together with derivatives up to the order k−1. The case k=2 is completely characterized.http://dx.doi.org/10.1155/S1025583497000155Weighted Hardy’s inequality.
collection DOAJ
language English
format Article
sources DOAJ
author Vladimir Stepanov
Masha Nasyrova
spellingShingle Vladimir Stepanov
Masha Nasyrova
On weighted hardy inequalities on semiaxis for functions vanishing at the endpoints
Journal of Inequalities and Applications
Weighted Hardy’s inequality.
author_facet Vladimir Stepanov
Masha Nasyrova
author_sort Vladimir Stepanov
title On weighted hardy inequalities on semiaxis for functions vanishing at the endpoints
title_short On weighted hardy inequalities on semiaxis for functions vanishing at the endpoints
title_full On weighted hardy inequalities on semiaxis for functions vanishing at the endpoints
title_fullStr On weighted hardy inequalities on semiaxis for functions vanishing at the endpoints
title_full_unstemmed On weighted hardy inequalities on semiaxis for functions vanishing at the endpoints
title_sort on weighted hardy inequalities on semiaxis for functions vanishing at the endpoints
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 1997-01-01
description We study the weighted Hardy inequalities on the semiaxis of the form ‖Fu‖2≤C‖F(k)v‖2  (1) for functions vanishing at the endpoints together with derivatives up to the order k−1. The case k=2 is completely characterized.
topic Weighted Hardy’s inequality.
url http://dx.doi.org/10.1155/S1025583497000155
work_keys_str_mv AT vladimirstepanov onweightedhardyinequalitiesonsemiaxisforfunctionsvanishingattheendpoints
AT mashanasyrova onweightedhardyinequalitiesonsemiaxisforfunctionsvanishingattheendpoints
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