IMPROVED HARDY-SOBOLEV INEQUALITIES
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Date
2024-04-29
Authors
Orazbayev, Almat
Journal Title
Journal ISSN
Volume Title
Publisher
Nazarbayev University School of Sciences and Humatinies
Abstract
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.
Description
Keywords
Type of access: Restricted, Hardy-Sobolev inequality, Sharp Constant, Symmetric rearrangements, Uncertainty principle
Citation
Orazbayev, A. (2024). Improved Hardy-Sobolev inequalities. Nazarbayev University School of Sciences and Humanities