Ap(ϕ) Weights, BMO(ϕ), and Calderón-Zygmund Operators of ϕ-Type
We introduce new classes of weights and BMO functions associated with a nondecreasing function ϕ of upper type β with β>0 and obtain the weighted norm inequalities for Calderón-Zygmund operators of ϕ-type and their commutators.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2018/6769293 |
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| _version_ | 1832555130912768000 |
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| author | Ruimin Wu Songbai Wang |
| author_facet | Ruimin Wu Songbai Wang |
| author_sort | Ruimin Wu |
| collection | DOAJ |
| description | We introduce new classes of weights and BMO functions associated with a nondecreasing function ϕ of upper type β with β>0 and obtain the weighted norm inequalities for Calderón-Zygmund operators of ϕ-type and their commutators. |
| format | Article |
| id | doaj-art-c3aa1deed8144398bade33488e41179b |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-c3aa1deed8144398bade33488e41179b2025-02-03T05:49:37ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/67692936769293Ap(ϕ) Weights, BMO(ϕ), and Calderón-Zygmund Operators of ϕ-TypeRuimin Wu0Songbai Wang1Longqiao College of Lanzhou University of Finance and Economics, Lanzhou 730101, ChinaCollege of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, ChinaWe introduce new classes of weights and BMO functions associated with a nondecreasing function ϕ of upper type β with β>0 and obtain the weighted norm inequalities for Calderón-Zygmund operators of ϕ-type and their commutators.http://dx.doi.org/10.1155/2018/6769293 |
| spellingShingle | Ruimin Wu Songbai Wang Ap(ϕ) Weights, BMO(ϕ), and Calderón-Zygmund Operators of ϕ-Type Journal of Function Spaces |
| title | Ap(ϕ) Weights, BMO(ϕ), and Calderón-Zygmund Operators of ϕ-Type |
| title_full | Ap(ϕ) Weights, BMO(ϕ), and Calderón-Zygmund Operators of ϕ-Type |
| title_fullStr | Ap(ϕ) Weights, BMO(ϕ), and Calderón-Zygmund Operators of ϕ-Type |
| title_full_unstemmed | Ap(ϕ) Weights, BMO(ϕ), and Calderón-Zygmund Operators of ϕ-Type |
| title_short | Ap(ϕ) Weights, BMO(ϕ), and Calderón-Zygmund Operators of ϕ-Type |
| title_sort | ap ϕ weights bmo ϕ and calderon zygmund operators of ϕ type |
| url | http://dx.doi.org/10.1155/2018/6769293 |
| work_keys_str_mv | AT ruiminwu apphweightsbmophandcalderonzygmundoperatorsofphtype AT songbaiwang apphweightsbmophandcalderonzygmundoperatorsofphtype |