Improved Interpolation Inequalities and Stability
Abstract: For exponents in the subcritical range, we revisit some optimal interpolation inequalities on the sphere with carré du champ methods and use the remainder terms to produce improved inequalities. The method provides us with lower estimates of the optimal constants in the symmetry breaking range and stability estimates for the optimal functions. Some of these results can be reformulated in the Euclidean space using the stereographic projection.
- Location
-
Deutsche Nationalbibliothek Frankfurt am Main
- Extent
-
Online-Ressource
- Language
-
Englisch
- Bibliographic citation
-
Improved Interpolation Inequalities and Stability ; volume:20 ; number:2 ; year:2020 ; pages:277-291 ; extent:15
Advanced nonlinear studies ; 20, Heft 2 (2020), 277-291 (gesamt 15)
- Creator
-
Dolbeault, Jean
Esteban, Maria J.
- DOI
-
10.1515/ans-2020-2080
- URN
-
urn:nbn:de:101:1-2405031623354.118643527354
- Rights
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
-
14.08.2025, 10:44 AM CEST
Data provider
This object is provided by:
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Dolbeault, Jean
- Esteban, Maria J.
Other Objects (12)
Hardy–Sobolev interpolation inequalities
Sharp interpolation inequalities for discrete operators and applications
Interpolation inequalities in generalized Orlicz-Sobolev spaces and applications
Improved ParaDiag via low-rank updates and interpolation
Improved economic stability
New stability criteria for asymptotic stability of time-delay systems via integral inequalities and Jensen inequalities
Improved Bonferroni inequalities via abstract tubes : inequalities and identities of inclusion exclusion type
Distributional stability of the Szarek and Ball inequalities
Coupled Variational Inequalities: Existence, Stability and Optimal Control
On the numerical stability of linear barycentric rational interpolation
An improved real-time detection algorithm based on frequency interpolation
Levinson type inequalities for higher order convex functions via Abel–Gontscharoff interpolation
Hardy–Sobolev interpolation inequalities
Sharp interpolation inequalities for discrete operators and applications
Interpolation inequalities in generalized Orlicz-Sobolev spaces and applications
Improved ParaDiag via low-rank updates and interpolation
Improved economic stability
New stability criteria for asymptotic stability of time-delay systems via integral inequalities and Jensen inequalities
Improved Bonferroni inequalities via abstract tubes : inequalities and identities of inclusion exclusion type
Distributional stability of the Szarek and Ball inequalities
Coupled Variational Inequalities: Existence, Stability and Optimal Control
On the numerical stability of linear barycentric rational interpolation
An improved real-time detection algorithm based on frequency interpolation
Levinson type inequalities for higher order convex functions via Abel–Gontscharoff interpolation
Hardy–Sobolev interpolation inequalities
Sharp interpolation inequalities for discrete operators and applications
Interpolation inequalities in generalized Orlicz-Sobolev spaces and applications
Improved ParaDiag via low-rank updates and interpolation
Improved economic stability
New stability criteria for asymptotic stability of time-delay systems via integral inequalities and Jensen inequalities
Improved Bonferroni inequalities via abstract tubes : inequalities and identities of inclusion exclusion type
Distributional stability of the Szarek and Ball inequalities
Coupled Variational Inequalities: Existence, Stability and Optimal Control
On the numerical stability of linear barycentric rational interpolation
An improved real-time detection algorithm based on frequency interpolation