Embeddings of variable Hajlasz-Sobolev spaces into Holder spaces of variable order
Pointwise estimates in variable exponent Sobolev spaces on quasi-metric measure spaces are investigated. Based on such estimates, Sobolev embeddings into H\"older spaces with variable order are obtained. This extends some known results to the variable exponent setting.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Republic of Armenia National Academy of Sciences
2009-01-01
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| Series: | Armenian Journal of Mathematics |
| Online Access: | http://www.armjmath.sci.am/index.php/ajm/article/view/45 |
| Summary: | Pointwise estimates in variable exponent Sobolev spaces on quasi-metric measure spaces are investigated. Based on such estimates, Sobolev embeddings into H\"older spaces with variable order are obtained. This extends some known results to the variable exponent setting.
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| ISSN: | 1829-1163 |