IMPROVED HARDY-SOBOLEV INEQUALITIES
In this thesis work, a new version of the Hardy-Sobolev inequality is obtained. It covers the recent inequality of Frank, Laptev, and Weidl derived in [4] and improves the results of Persson and Samko established in [13]. It gives new results in one dimension. We analyse radial and non-radial versio...
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Format: | Master Thesis |
Language: | English |
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Nazarbayev University School of Sciences and Humatinies
2024
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Online Access: | http://nur.nu.edu.kz/handle/123456789/7785 |
Summary: | In this thesis work, a new version of the Hardy-Sobolev inequality is obtained. It covers the recent inequality of Frank, Laptev, and Weidl derived in [4] and improves the results of Persson and Samko established in [13]. It gives new results in one dimension. We analyse radial and non-radial versions of the considered multidimensional Hardy-Sobolev inequality and as a consequence we establish some Heisenberg-Pauli-Weyl uncertainty principles. |
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