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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Nazarbayev University School of Sciences and Humatinies
2024
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ftnazarbayevuniv:oai:nur.nu.edu.kz:123456789/7785 2024-06-23T07:54:27+00:00 IMPROVED HARDY-SOBOLEV INEQUALITIES Orazbayev, Almat 2024-04-29 http://nur.nu.edu.kz/handle/123456789/7785 en eng Nazarbayev University School of Sciences and Humatinies Orazbayev, A. (2024). Improved Hardy-Sobolev inequalities. Nazarbayev University School of Sciences and Humanities http://nur.nu.edu.kz/handle/123456789/7785 Attribution-NonCommercial-NoDerivs 3.0 United States http://creativecommons.org/licenses/by-nc-nd/3.0/us/ Type of access: Restricted Hardy-Sobolev inequality Sharp Constant Symmetric rearrangements Uncertainty principle Master's thesis 2024 ftnazarbayevuniv 2024-06-10T23:39:07Z 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. Master Thesis laptev Nazarbayev University Repository Persson ENVELOPE(-58.400,-58.400,-64.200,-64.200) |
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Open Polar |
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Nazarbayev University Repository |
op_collection_id |
ftnazarbayevuniv |
language |
English |
topic |
Type of access: Restricted Hardy-Sobolev inequality Sharp Constant Symmetric rearrangements Uncertainty principle |
spellingShingle |
Type of access: Restricted Hardy-Sobolev inequality Sharp Constant Symmetric rearrangements Uncertainty principle Orazbayev, Almat IMPROVED HARDY-SOBOLEV INEQUALITIES |
topic_facet |
Type of access: Restricted Hardy-Sobolev inequality Sharp Constant Symmetric rearrangements Uncertainty principle |
description |
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. |
format |
Master Thesis |
author |
Orazbayev, Almat |
author_facet |
Orazbayev, Almat |
author_sort |
Orazbayev, Almat |
title |
IMPROVED HARDY-SOBOLEV INEQUALITIES |
title_short |
IMPROVED HARDY-SOBOLEV INEQUALITIES |
title_full |
IMPROVED HARDY-SOBOLEV INEQUALITIES |
title_fullStr |
IMPROVED HARDY-SOBOLEV INEQUALITIES |
title_full_unstemmed |
IMPROVED HARDY-SOBOLEV INEQUALITIES |
title_sort |
improved hardy-sobolev inequalities |
publisher |
Nazarbayev University School of Sciences and Humatinies |
publishDate |
2024 |
url |
http://nur.nu.edu.kz/handle/123456789/7785 |
long_lat |
ENVELOPE(-58.400,-58.400,-64.200,-64.200) |
geographic |
Persson |
geographic_facet |
Persson |
genre |
laptev |
genre_facet |
laptev |
op_relation |
Orazbayev, A. (2024). Improved Hardy-Sobolev inequalities. Nazarbayev University School of Sciences and Humanities http://nur.nu.edu.kz/handle/123456789/7785 |
op_rights |
Attribution-NonCommercial-NoDerivs 3.0 United States http://creativecommons.org/licenses/by-nc-nd/3.0/us/ |
_version_ |
1802646619177353216 |