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<∞.
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2013/121767 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832564657092558848 |
|---|---|
| author | Aigerim Kalybay Ryskul Oinarov Ainur Temirkhanova |
| author_facet | Aigerim Kalybay Ryskul Oinarov Ainur Temirkhanova |
| author_sort | Aigerim Kalybay |
| collection | DOAJ |
| 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<∞. |
| format | Article |
| id | doaj-art-05a72d0d2d2241939a33efc9bdaabaec |
| institution | Kabale University |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-05a72d0d2d2241939a33efc9bdaabaec2025-02-03T01:10:25ZengWileyJournal 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 |
| 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 |
| title | 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_short | 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 ∞ |
| url | http://dx.doi.org/10.1155/2013/121767 |
| work_keys_str_mv | AT aigerimkalybay boundednessofnmultiplediscretehardyoperatorswithweightsfor1qp AT ryskuloinarov boundednessofnmultiplediscretehardyoperatorswithweightsfor1qp AT ainurtemirkhanova boundednessofnmultiplediscretehardyoperatorswithweightsfor1qp |