Endpoint Estimates for Fractional Hardy Operators and Their Commutators on Hardy Spaces

Endpoint Estimates for Fractional Hardy Operators and Their Commutators on Hardy Spaces

(Hpℝn,Lqℝn) bounds of fractional Hardy operators are obtained. Moreover, the estimates for commutators of fractional Hardy operators on Hardy spaces are worked out. It is also proved that the commutators of fractional Hardy operators are mapped from the Herz-type Hardy spaces into the Herz spaces. T...

Full description

Bibliographic Details
Main Authors: Jiang Zhou, Dinghuai Wang
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2014/272864
id doaj-4dd255793ab54ee1b7095ccc85b02f9f
record_format Article
spelling doaj-4dd255793ab54ee1b7095ccc85b02f9f2020-11-24T22:50:22ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/272864272864Endpoint Estimates for Fractional Hardy Operators and Their Commutators on Hardy SpacesJiang Zhou0Dinghuai Wang1Department of Mathematics, Xinjiang University, Urumqi 830046, ChinaDepartment of Mathematics, Xinjiang University, Urumqi 830046, China(Hpℝn,Lqℝn) bounds of fractional Hardy operators are obtained. Moreover, the estimates for commutators of fractional Hardy operators on Hardy spaces are worked out. It is also proved that the commutators of fractional Hardy operators are mapped from the Herz-type Hardy spaces into the Herz spaces. The estimates for multilinear commutators of fractional Hardy operators are also discussed.http://dx.doi.org/10.1155/2014/272864
collection DOAJ
language English
format Article
sources DOAJ
author Jiang Zhou
Dinghuai Wang
spellingShingle Jiang Zhou
Dinghuai Wang
Endpoint Estimates for Fractional Hardy Operators and Their Commutators on Hardy Spaces
Journal of Function Spaces
author_facet Jiang Zhou
Dinghuai Wang
author_sort Jiang Zhou
title Endpoint Estimates for Fractional Hardy Operators and Their Commutators on Hardy Spaces
title_short Endpoint Estimates for Fractional Hardy Operators and Their Commutators on Hardy Spaces
title_full Endpoint Estimates for Fractional Hardy Operators and Their Commutators on Hardy Spaces
title_fullStr Endpoint Estimates for Fractional Hardy Operators and Their Commutators on Hardy Spaces
title_full_unstemmed Endpoint Estimates for Fractional Hardy Operators and Their Commutators on Hardy Spaces
title_sort endpoint estimates for fractional hardy operators and their commutators on hardy spaces
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2014-01-01
description (Hpℝn,Lqℝn) bounds of fractional Hardy operators are obtained. Moreover, the estimates for commutators of fractional Hardy operators on Hardy spaces are worked out. It is also proved that the commutators of fractional Hardy operators are mapped from the Herz-type Hardy spaces into the Herz spaces. The estimates for multilinear commutators of fractional Hardy operators are also discussed.
url http://dx.doi.org/10.1155/2014/272864
work_keys_str_mv AT jiangzhou endpointestimatesforfractionalhardyoperatorsandtheircommutatorsonhardyspaces
AT dinghuaiwang endpointestimatesforfractionalhardyoperatorsandtheircommutatorsonhardyspaces
_version_ 1725672760100782080

Similar Items