Boundedness of n-Multiple Discrete Hardy Operators with Weights for 1<q<p<∞
We find necessary and sufficient conditions on weighted sequences ωi, i=1,2,…,n-1, u, and v, for which the operator (Sn-1f)i=∑k1=1iω1,k1⋯∑kn-1=1kn-2ωn-1,kn-1∑j=1kn-1fj,i≥1, is bounded from lp,v to lq,u for 1<q<p<∞.
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2013-01-01
|
| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2013/121767 |
| id |
doaj-05a72d0d2d2241939a33efc9bdaabaec |
|---|---|
| record_format |
Article |
| spelling |
doaj-05a72d0d2d2241939a33efc9bdaabaec2020-11-24T23:29:43ZengHindawi LimitedJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/121767121767Boundedness of n-Multiple Discrete Hardy Operators with Weights for 1<q<p<∞Aigerim Kalybay0Ryskul Oinarov1Ainur Temirkhanova2Kazakhstan Institute of Management, Economics and Strategic Research, 4 Abai Avenue, Almaty 050010, KazakhstanEurasian National University, 5 Munaytpasov Street, Astana 010008, KazakhstanEurasian National University, 5 Munaytpasov Street, Astana 010008, KazakhstanWe find necessary and sufficient conditions on weighted sequences ωi, i=1,2,…,n-1, u, and v, for which the operator (Sn-1f)i=∑k1=1iω1,k1⋯∑kn-1=1kn-2ωn-1,kn-1∑j=1kn-1fj,i≥1, is bounded from lp,v to lq,u for 1<q<p<∞.http://dx.doi.org/10.1155/2013/121767 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Aigerim Kalybay Ryskul Oinarov Ainur Temirkhanova |
| spellingShingle |
Aigerim Kalybay Ryskul Oinarov Ainur Temirkhanova Boundedness of n-Multiple Discrete Hardy Operators with Weights for 1<q<p<∞ Journal of Function Spaces and Applications |
| author_facet |
Aigerim Kalybay Ryskul Oinarov Ainur Temirkhanova |
| author_sort |
Aigerim Kalybay |
| title |
Boundedness of n-Multiple Discrete Hardy Operators with Weights for 1<q<p<∞ |
| title_short |
Boundedness of n-Multiple Discrete Hardy Operators with Weights for 1<q<p<∞ |
| title_full |
Boundedness of n-Multiple Discrete Hardy Operators with Weights for 1<q<p<∞ |
| title_fullStr |
Boundedness of n-Multiple Discrete Hardy Operators with Weights for 1<q<p<∞ |
| title_full_unstemmed |
Boundedness of n-Multiple Discrete Hardy Operators with Weights for 1<q<p<∞ |
| title_sort |
boundedness of n-multiple discrete hardy operators with weights for 1<q<p<∞ |
| publisher |
Hindawi Limited |
| series |
Journal of Function Spaces and Applications |
| issn |
0972-6802 1758-4965 |
| publishDate |
2013-01-01 |
| description |
We find necessary and sufficient conditions on weighted sequences ωi, i=1,2,…,n-1, u, and v, for which the operator (Sn-1f)i=∑k1=1iω1,k1⋯∑kn-1=1kn-2ωn-1,kn-1∑j=1kn-1fj,i≥1, is bounded from lp,v to lq,u for 1<q<p<∞. |
| url |
http://dx.doi.org/10.1155/2013/121767 |
| work_keys_str_mv |
AT aigerimkalybay boundednessofnmultiplediscretehardyoperatorswithweightsfor1qp AT ryskuloinarov boundednessofnmultiplediscretehardyoperatorswithweightsfor1qp AT ainurtemirkhanova boundednessofnmultiplediscretehardyoperatorswithweightsfor1qp |
| _version_ |
1725544173846659072 |