Higher-Order Commutators of Parametric Marcinkiewicz Integrals on Herz Spaces with Variable Exponent
Let Ω∈Ls(Sn-1) for s⩾1 be a homogeneous function of degree zero and b be BMO functions. In this paper, we obtain some boundedness of the parametric Marcinkiewicz integral operator μΩρ and its higher-order commutator [bm,μΩρ] on Herz spaces with variable exponent.
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2018/7319093 |
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| _version_ | 1832560920922947584 |
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| author | Hongbin Wang Dunyan Yan |
| author_facet | Hongbin Wang Dunyan Yan |
| author_sort | Hongbin Wang |
| collection | DOAJ |
| description | Let Ω∈Ls(Sn-1) for s⩾1 be a homogeneous function of degree zero and b be BMO functions. In this paper, we obtain some boundedness of the parametric Marcinkiewicz integral operator μΩρ and its higher-order commutator [bm,μΩρ] on Herz spaces with variable exponent. |
| format | Article |
| id | doaj-art-050ee8c94557484184c9822a8fca3b6a |
| 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-050ee8c94557484184c9822a8fca3b6a2025-02-03T01:26:19ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/73190937319093Higher-Order Commutators of Parametric Marcinkiewicz Integrals on Herz Spaces with Variable ExponentHongbin Wang0Dunyan Yan1School of Mathematics and Statistics, Shandong University of Technology, Zibo 255049, ChinaSchool of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, ChinaLet Ω∈Ls(Sn-1) for s⩾1 be a homogeneous function of degree zero and b be BMO functions. In this paper, we obtain some boundedness of the parametric Marcinkiewicz integral operator μΩρ and its higher-order commutator [bm,μΩρ] on Herz spaces with variable exponent.http://dx.doi.org/10.1155/2018/7319093 |
| spellingShingle | Hongbin Wang Dunyan Yan Higher-Order Commutators of Parametric Marcinkiewicz Integrals on Herz Spaces with Variable Exponent Journal of Function Spaces |
| title | Higher-Order Commutators of Parametric Marcinkiewicz Integrals on Herz Spaces with Variable Exponent |
| title_full | Higher-Order Commutators of Parametric Marcinkiewicz Integrals on Herz Spaces with Variable Exponent |
| title_fullStr | Higher-Order Commutators of Parametric Marcinkiewicz Integrals on Herz Spaces with Variable Exponent |
| title_full_unstemmed | Higher-Order Commutators of Parametric Marcinkiewicz Integrals on Herz Spaces with Variable Exponent |
| title_short | Higher-Order Commutators of Parametric Marcinkiewicz Integrals on Herz Spaces with Variable Exponent |
| title_sort | higher order commutators of parametric marcinkiewicz integrals on herz spaces with variable exponent |
| url | http://dx.doi.org/10.1155/2018/7319093 |
| work_keys_str_mv | AT hongbinwang higherordercommutatorsofparametricmarcinkiewiczintegralsonherzspaceswithvariableexponent AT dunyanyan higherordercommutatorsofparametricmarcinkiewiczintegralsonherzspaceswithvariableexponent |