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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/174010 |
| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |