Lipschitz Estimates for Fractional Multilinear Singular Integral on Variable Exponent Lebesgue Spaces
We obtain the Lipschitz boundedness for a class of fractional multilinear operators with rough kernels on variable exponent Lebesgue spaces. Our results generalize the related conclusions on Lebesgue spaces with constant exponent.
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/632384 |
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| _version_ | 1832565109951561728 |
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| author | Hui-Ling Wu Jia-Cheng Lan |
| author_facet | Hui-Ling Wu Jia-Cheng Lan |
| author_sort | Hui-Ling Wu |
| collection | DOAJ |
| description | We obtain the Lipschitz boundedness for a class of fractional multilinear operators with rough kernels on variable exponent Lebesgue spaces. Our results generalize the related conclusions on Lebesgue spaces with constant exponent. |
| format | Article |
| id | doaj-art-85c6200697794ea99c20b645e2ddcfec |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-85c6200697794ea99c20b645e2ddcfec2025-02-03T01:09:12ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/632384632384Lipschitz Estimates for Fractional Multilinear Singular Integral on Variable Exponent Lebesgue SpacesHui-Ling Wu0Jia-Cheng Lan1College of Education, Lishui University, Lishui 323000, ChinaCollege of Science, Lishui University, Lishui 323000, ChinaWe obtain the Lipschitz boundedness for a class of fractional multilinear operators with rough kernels on variable exponent Lebesgue spaces. Our results generalize the related conclusions on Lebesgue spaces with constant exponent.http://dx.doi.org/10.1155/2013/632384 |
| spellingShingle | Hui-Ling Wu Jia-Cheng Lan Lipschitz Estimates for Fractional Multilinear Singular Integral on Variable Exponent Lebesgue Spaces Abstract and Applied Analysis |
| title | Lipschitz Estimates for Fractional Multilinear Singular Integral on Variable Exponent Lebesgue Spaces |
| title_full | Lipschitz Estimates for Fractional Multilinear Singular Integral on Variable Exponent Lebesgue Spaces |
| title_fullStr | Lipschitz Estimates for Fractional Multilinear Singular Integral on Variable Exponent Lebesgue Spaces |
| title_full_unstemmed | Lipschitz Estimates for Fractional Multilinear Singular Integral on Variable Exponent Lebesgue Spaces |
| title_short | Lipschitz Estimates for Fractional Multilinear Singular Integral on Variable Exponent Lebesgue Spaces |
| title_sort | lipschitz estimates for fractional multilinear singular integral on variable exponent lebesgue spaces |
| url | http://dx.doi.org/10.1155/2013/632384 |
| work_keys_str_mv | AT huilingwu lipschitzestimatesforfractionalmultilinearsingularintegralonvariableexponentlebesguespaces AT jiachenglan lipschitzestimatesforfractionalmultilinearsingularintegralonvariableexponentlebesguespaces |