Cover Image

Higher-order affine Sobolev inequalities

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Bullion-Gauthier, Tristan
Format:	Preprint
Published:	2025
Subjects:	Functional Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Existence of extremal functions in higher-order affine Sobolev inequalities
by: Bullion-Gauthier, Tristan
Published: (2026)

Generalized affine Hardy-Littlewood-Sobolev inequalities
by: Lin, Youjiang, et al.
Published: (2025)

Higher-order Sobolev embeddings into spaces of Campanato and Morrey type
by: Cavaliere, Paola, et al.
Published: (2024)

Sobolev inequalities for canceling operators
by: Breit, Dominic, et al.
Published: (2025)

Higher order coercive inequalities on nilpotent Lie groups
by: Dagher, Esther Bou, et al.
Published: (2024)

Capacitary inradius and Poincaré-Sobolev inequalities
by: Bozzola, Francesco, et al.
Published: (2024)

Sobolev inequalities for nonlinear Dirichlet forms
by: Chill, Ralph, et al.
Published: (2026)

A simple proof of attainability for the Sobolev inequality
by: Sano, Megumi
Published: (2024)

Sharp quantitative stability for the fractional Sobolev trace inequality
by: Zhang, Yingfang, et al.
Published: (2023)

Equality in the logarithmic Sobolev inequality
by: Ohta, Shin-ichi, et al.
Published: (2019)

The sharp affine $L^2$ Sobolev trace inequality and variants
by: De Nápoli, Pablo Luis, et al.
Published: (2015)

Log-Sobolev and Beckner inequalities and stability of Poincaré inequality with weighted Gaussian measures
by: Lam, Nguyen, et al.
Published: (2026)

Weighted Trudinger-Moser inequalities in the subcritical Sobolev spaces and their applications
by: Ikeda, Masahiro, et al.
Published: (2024)

Intrinsic regularity in the discrete log-Sobolev inequality
by: Salez, Justin, et al.
Published: (2025)

Logarithmic Sobolev inequalities for generalised Cauchy measures
by: Huguet, Baptiste Nicolas
Published: (2024)

The sharp log Sobolev inequality on finite cycles
by: Frank, Rupert L., et al.
Published: (2026)

Degenerate Poincaré-Sobolev inequalities via fractional integration
by: Claros, Alejandro
Published: (2025)

The higher order chain rule in Sobolev spaces
by: Bourdaud, Gérard
Published: (2024)

A sharp higher order Sobolev embedding
by: Hindov, Raul, et al.
Published: (2024)

Extremals for sharp Poincaré-Sobolev inequalities: periodically perforated sets and beyond
by: Brasco, Lorenzo, et al.
Published: (2025)

Extremal functions for a supercritical k-Hessian inequality of Sobolev-type
by: de Oliveira, José Francisco, et al.
Published: (2020)

Sobolev inequality and its applications to nonlinear PDE on noncommutative Euclidean spaces
by: Ruzhansky, Michael, et al.
Published: (2024)

Discrete logarithmic Sobolev inequalities in Banach spaces
by: Cordero-Erausquin, Dario, et al.
Published: (2023)

Quantitative stability of Sobolev inequalities on compact Riemannian manifolds
by: Nobili, Francesco, et al.
Published: (2024)

New weighted Riesz-type pointwise inequalities and applications to generalized Sobolev estimates
by: Chamorro, Diego, et al.
Published: (2025)

Sharp affine Sobolev type inequalities via the $\Lp$ Busemann-Petty centroid inequality
by: Haddad, Julian, et al.
Published: (2015)

Sharp defective log-Sobolev inequalities on H-type groups
by: Antonelli, Gioacchino, et al.
Published: (2024)

Degenerate constants in degree inequalities for Sobolev circle maps: on some problems posed by Brezis
by: Dou, Xu'an, et al.
Published: (2026)

On sharp constants in higher order Adams-Cianchi inequalities
by: Roychowdhury, Prasun, et al.
Published: (2024)

From affine Poincaré inequalities to affine spectral inequalities
by: Haddad, Julián, et al.
Published: (2020)

Understanding two-scale criteria for Poincaré and log-Sobolev inequalities in the Euclidean case through Φ-entropies
by: Srinivasan, Vishwak
Published: (2025)

A direct proof of the cutoff Sobolev inequality on the Sierpiński gasket
by: Yang, Meng
Published: (2025)

New approach to affine Moser-Trudinger inequalities via Besov polar projection bodies
by: Dominguez, Oscar, et al.
Published: (2024)

Higher-order derivative estimates for the heat equation on a smooth domain
by: Furuto, Yoshinori, et al.
Published: (2025)

A Complete Solution of Optimal Hypercontractivity and Log--Sobolev inequalities on Cyclic Groups $\mathbb{Z}_{n}$ for $n\geq 4$
by: Yao, Gan
Published: (2026)

Sharp stability for Sobolev and log-Sobolev inequalities, with optimal dimensional dependence
by: Dolbeault, Jean, et al.
Published: (2022)

$p$-Poincaré inequalities and cutoff Sobolev inequalities on metric measure spaces
by: Yang, Meng
Published: (2025)

Intrinsic Ultracontractivity for a class of Schroedinger Semigroups in $L^{2}(\mathbb{R}^{n})$ by Logarithmic Sobolev inequalities
by: Schwerdt, Christoph, et al.
Published: (2026)

Sharp Sobolev inequalities on noncompact Riemannian manifolds with ${\sf Ric}\geq 0$ via Optimal Transport theory
by: Kristály, Alexandru
Published: (2023)

Fractional Sobolev-Poincare inequalities in irregular domains
by: Guo, Chang-Yu
Published: (2014)