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Hausdorff measures and Lebesgue points for the Sobolev classes \(W_{\alpha }^p\), \(\alpha > 0\), on spaces of homogeneous type - MaRDI portal

Hausdorff measures and Lebesgue points for the Sobolev classes \(W_{\alpha }^p\), \(\alpha > 0\), on spaces of homogeneous type (Q1033965)

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scientific article; zbMATH DE number 5628187
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English
Hausdorff measures and Lebesgue points for the Sobolev classes \(W_{\alpha }^p\), \(\alpha > 0\), on spaces of homogeneous type
scientific article; zbMATH DE number 5628187

    Statements

    Hausdorff measures and Lebesgue points for the Sobolev classes \(W_{\alpha }^p\), \(\alpha > 0\), on spaces of homogeneous type (English)
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    10 November 2009
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    Hausdorff measure
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    Lebesgue point
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    Sobolev classes \(W_{\alpha }^p\)
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    Hölder classes \(H^{\alpha }(X)\)
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    Borel measure
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    Hausdorff capacity
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    Hausdorff dimension
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