Lipschitz Spaces and Fractional Integral Operators Associated with Nonhomogeneous Metric Measure Spaces
The fractional operator on nonhomogeneous metric measure spaces is introduced, which is a bounded operator from Lpμ into the space Lq,∞μ. Moreover, the Lipschitz spaces on nonhomogeneous metric measure spaces are also introduced, which contain the classical Lipschitz spaces. The authors establish so...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/174010 |
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| _version_ | 1832566707000967168 |
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| author | Jiang Zhou Dinghuai Wang |
| author_facet | Jiang Zhou Dinghuai Wang |
| author_sort | Jiang Zhou |
| collection | DOAJ |
| description | The fractional operator on nonhomogeneous metric measure spaces is introduced, which is a bounded operator from Lpμ into the space Lq,∞μ. Moreover, the Lipschitz spaces on nonhomogeneous metric measure spaces are also introduced, which contain the classical Lipschitz spaces. The authors establish some equivalent characterizations for the Lipschitz spaces, and some results of the boundedness of fractional operator in Lipschitz spaces are also presented. |
| format | Article |
| id | doaj-art-c7b3ad321904423b9c244b445002fdcf |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c7b3ad321904423b9c244b445002fdcf2025-02-03T01:03:22ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/174010174010Lipschitz Spaces and Fractional Integral Operators Associated with Nonhomogeneous Metric Measure SpacesJiang Zhou0Dinghuai Wang1Department of Mathematics, Xinjiang University, Urumqi 830046, ChinaDepartment of Mathematics, Xinjiang University, Urumqi 830046, ChinaThe fractional operator on nonhomogeneous metric measure spaces is introduced, which is a bounded operator from Lpμ into the space Lq,∞μ. Moreover, the Lipschitz spaces on nonhomogeneous metric measure spaces are also introduced, which contain the classical Lipschitz spaces. The authors establish some equivalent characterizations for the Lipschitz spaces, and some results of the boundedness of fractional operator in Lipschitz spaces are also presented.http://dx.doi.org/10.1155/2014/174010 |
| spellingShingle | Jiang Zhou Dinghuai Wang Lipschitz Spaces and Fractional Integral Operators Associated with Nonhomogeneous Metric Measure Spaces Abstract and Applied Analysis |
| title | Lipschitz Spaces and Fractional Integral Operators Associated with Nonhomogeneous Metric Measure Spaces |
| title_full | Lipschitz Spaces and Fractional Integral Operators Associated with Nonhomogeneous Metric Measure Spaces |
| title_fullStr | Lipschitz Spaces and Fractional Integral Operators Associated with Nonhomogeneous Metric Measure Spaces |
| title_full_unstemmed | Lipschitz Spaces and Fractional Integral Operators Associated with Nonhomogeneous Metric Measure Spaces |
| title_short | Lipschitz Spaces and Fractional Integral Operators Associated with Nonhomogeneous Metric Measure Spaces |
| title_sort | lipschitz spaces and fractional integral operators associated with nonhomogeneous metric measure spaces |
| url | http://dx.doi.org/10.1155/2014/174010 |
| work_keys_str_mv | AT jiangzhou lipschitzspacesandfractionalintegraloperatorsassociatedwithnonhomogeneousmetricmeasurespaces AT dinghuaiwang lipschitzspacesandfractionalintegraloperatorsassociatedwithnonhomogeneousmetricmeasurespaces |