Marcinkiewicz Integral Operators and Commutators on Herz Spaces with Variable Exponents
Our aim in this paper is to give the boundedness of the Marcinkiewicz integral μΩ on Herz spaces K˙p(·)α(·),q(Rn) and Kp(·)α(·),q(Rn), where the two main indices are variable. Meanwhile, we consider the boundedness of the higher order commutator μΩ,bm generated by μΩ and a function b in BMO(Rn) on t...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2014/430365 |
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| author | Liwei Wang |
| author_facet | Liwei Wang |
| author_sort | Liwei Wang |
| collection | DOAJ |
| description | Our aim in this paper is to give the boundedness of the Marcinkiewicz integral μΩ on Herz spaces K˙p(·)α(·),q(Rn) and Kp(·)α(·),q(Rn), where the two main indices are variable. Meanwhile, we consider the boundedness of the higher order commutator μΩ,bm generated by μΩ and a function b in BMO(Rn) on these spaces. |
| format | Article |
| id | doaj-art-bd40d13f6aa34f2e84f8a2182eb1b4a0 |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-bd40d13f6aa34f2e84f8a2182eb1b4a02025-08-20T02:19:12ZengWileyJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/430365430365Marcinkiewicz Integral Operators and Commutators on Herz Spaces with Variable ExponentsLiwei Wang0School of Mathematics and Physics, Anhui Polytechnic University, Wuhu 241000, ChinaOur aim in this paper is to give the boundedness of the Marcinkiewicz integral μΩ on Herz spaces K˙p(·)α(·),q(Rn) and Kp(·)α(·),q(Rn), where the two main indices are variable. Meanwhile, we consider the boundedness of the higher order commutator μΩ,bm generated by μΩ and a function b in BMO(Rn) on these spaces.http://dx.doi.org/10.1155/2014/430365 |
| spellingShingle | Liwei Wang Marcinkiewicz Integral Operators and Commutators on Herz Spaces with Variable Exponents Journal of Function Spaces |
| title | Marcinkiewicz Integral Operators and Commutators on Herz Spaces with Variable Exponents |
| title_full | Marcinkiewicz Integral Operators and Commutators on Herz Spaces with Variable Exponents |
| title_fullStr | Marcinkiewicz Integral Operators and Commutators on Herz Spaces with Variable Exponents |
| title_full_unstemmed | Marcinkiewicz Integral Operators and Commutators on Herz Spaces with Variable Exponents |
| title_short | Marcinkiewicz Integral Operators and Commutators on Herz Spaces with Variable Exponents |
| title_sort | marcinkiewicz integral operators and commutators on herz spaces with variable exponents |
| url | http://dx.doi.org/10.1155/2014/430365 |
| work_keys_str_mv | AT liweiwang marcinkiewiczintegraloperatorsandcommutatorsonherzspaceswithvariableexponents |