Marcinkiewicz Integrals on Weighted Weak Hardy Spaces
We prove that, under the condition Ω∈Lipα, Marcinkiewicz integral μΩ is bounded from weighted weak Hardy space WHwpRn to weighted weak Lebesgue space WLwpRn for maxn/n+1/2,n/n+α<p≤1, where w belongs to the Muckenhoupt weight class. We also give weaker smoothness condition assumed on Ω to imply th...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2014/765984 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832556723315933184 |
|---|---|
| author | Yue Hu Yueshan Wang |
| author_facet | Yue Hu Yueshan Wang |
| author_sort | Yue Hu |
| collection | DOAJ |
| description | We prove that, under the condition Ω∈Lipα, Marcinkiewicz integral μΩ is bounded from weighted weak Hardy space WHwpRn to weighted weak Lebesgue space WLwpRn for maxn/n+1/2,n/n+α<p≤1, where w belongs to the Muckenhoupt weight class. We also give weaker smoothness condition assumed on Ω to imply the boundedness of μΩ from WHw1ℝn to WLw1Rn. |
| format | Article |
| id | doaj-art-0aa2bfa984c74db5ab7b083975c4cf02 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-0aa2bfa984c74db5ab7b083975c4cf022025-02-03T05:44:29ZengWileyJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/765984765984Marcinkiewicz Integrals on Weighted Weak Hardy SpacesYue Hu0Yueshan Wang1College of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo 454003, ChinaDepartment of Mathematics, Jiaozuo University, Jiaozuo 454003, ChinaWe prove that, under the condition Ω∈Lipα, Marcinkiewicz integral μΩ is bounded from weighted weak Hardy space WHwpRn to weighted weak Lebesgue space WLwpRn for maxn/n+1/2,n/n+α<p≤1, where w belongs to the Muckenhoupt weight class. We also give weaker smoothness condition assumed on Ω to imply the boundedness of μΩ from WHw1ℝn to WLw1Rn.http://dx.doi.org/10.1155/2014/765984 |
| spellingShingle | Yue Hu Yueshan Wang Marcinkiewicz Integrals on Weighted Weak Hardy Spaces Journal of Function Spaces |
| title | Marcinkiewicz Integrals on Weighted Weak Hardy Spaces |
| title_full | Marcinkiewicz Integrals on Weighted Weak Hardy Spaces |
| title_fullStr | Marcinkiewicz Integrals on Weighted Weak Hardy Spaces |
| title_full_unstemmed | Marcinkiewicz Integrals on Weighted Weak Hardy Spaces |
| title_short | Marcinkiewicz Integrals on Weighted Weak Hardy Spaces |
| title_sort | marcinkiewicz integrals on weighted weak hardy spaces |
| url | http://dx.doi.org/10.1155/2014/765984 |
| work_keys_str_mv | AT yuehu marcinkiewiczintegralsonweightedweakhardyspaces AT yueshanwang marcinkiewiczintegralsonweightedweakhardyspaces |