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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Bibliographic Details
Main Author: Orazbayev, Almat
Format: Master Thesis
Language:English
Published: Nazarbayev University School of Sciences and Humatinies 2024
Subjects:
Type of access: Restricted
Hardy-Sobolev inequality
Sharp Constant
Symmetric rearrangements
Uncertainty principle
Persson
laptev
Online Access:http://nur.nu.edu.kz/handle/123456789/7785
Description
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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