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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Main Author: Orazbayev, Almat
Format: Master Thesis
Language:English
Published: Nazarbayev University School of Sciences and Humatinies 2024
Subjects:
Online Access:http://nur.nu.edu.kz/handle/123456789/7785
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spelling 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)
institution Open Polar
collection 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/
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