Cover Image

Sharp fractional Sobolev and related inequalities on H-type groups

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Wang, Yaojun, Yang, Qiaohua
Format:	Preprint
Published:	2024
Subjects:	Analysis of PDEs
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Sharp trace inequalities for conformally invariant fractional powers of the sublaplacian on the Heisenberg group and the CR sphere
by: Yang, Qiaohua, et al.
Published: (2026)

Explicit Formulas of Fractional GJMS operators on hyperbolic spaces and sharp fractional Poincaré-Sobolev and Hardy-Sobolev-Maz'ya inequalities
by: Lu, Guozhen, et al.
Published: (2023)

A simple proof of reverse Sobolev inequalities on the sphere and Sobolev trace inequalities on the unit ball
by: Gong, Runmin, et al.
Published: (2025)

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

Sharp Moser-Trudinger inequalities on Riemannian manifolds with Negative curvature
by: Yang, Qiaohua, et al.
Published: (2015)

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

Sharp quantitative integral inequalities for general conformally invariant extensions
by: Yang, Qiaohua, et al.
Published: (2026)

Conformally Covariant Boundary Operators and Sharp Higher Order CR Sobolev Trace Inequalities on the Siegel Domain and Complex Ball
by: Flynn, Joshua, et al.
Published: (2023)

Sharp quantitative stability estimates for critical points of fractional Sobolev inequalities
by: Chen, Haixia, et al.
Published: (2024)

Logarithmic Sobolev-type inequalities on Lie groups
by: Chatzakou, Marianna, et al.
Published: (2021)

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities
by: Balogh, Zoltán M., et al.
Published: (2025)

Sharp capillary Sobolev inequality and Moser-Trudinger inequality outside convex domain
by: Chen, Lu, et al.
Published: (2026)

Sharp Gagliardo-Nirenberg inequality and logarithmic Sobolev inequality on integer lattices
by: Shi, Yongjie, et al.
Published: (2025)

On the sharp constants in the regional fractional Sobolev inequalities
by: Frank, Rupert L., et al.
Published: (2024)

A fractional Hardy-Sobolev inequality of Michael-Simon type on convex hypersurfaces
by: Csató, Gyula, et al.
Published: (2024)

Maz'ya-type bounds for sharp constants in fractional Poincaré-Sobolev inequalities
by: Bozzola, Francesco, et al.
Published: (2025)

Optimal asymptotic lower bound for stability of fractional Sobolev inequality and the stability of Log-Sobolev inequality on the sphere
by: Chen, Lu, et al.
Published: (2023)

Stability estimates for critical points of a nonlocal Sobolev-type inequality
by: Yang, Minbo, et al.
Published: (2025)

Zero modes and Dirac-(logarithmic) Sobolev-type inequalities
by: Chatzakou, Marianna, et al.
Published: (2025)

Quantitative stability of critical points for the nonlocal-Sobolev inequality in Heisenberg group
by: Zhang, Shuijin, et al.
Published: (2025)

Sharp two-weight inequality for fractional maximal operators
by: Bañuelos, Rodrigo, et al.
Published: (2025)

Asymptotically sharp stability of Sobolev inequalities on the Heisenberg group with dimension-dependent constants
by: Chen, Lu, et al.
Published: (2025)

Remainder terms and sharp quantitative stability for a nonlocal Sobolev inequality on the Heisenberg group
by: Chen, Wenjing, et al.
Published: (2026)

Sharp trace inequalities for fractional Laplacians
by: Einav, Amit, et al.
Published: (2011)

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

Eigenvalue type problem in $s(.,.)$-fractional Musielak-Sobolev spaces
by: Azroul, E., et al.
Published: (2023)

A note on Pólya-Szegö inequality for fractional Orlicz-Sobolev seminorm in domains
by: Temgoua, Remi Yvant
Published: (2024)

Sharp Hardy inequalities for Sobolev-Bregman forms
by: Kijaczko, Michał, et al.
Published: (2021)

Sharp Sobolev and Adams-Trudinger-Moser embeddings on weighted Sobolev spaces and their applications
by: Ó, João Marcos do, et al.
Published: (2023)

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

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

Stability of Rellich-Sobolev type inequality involving Hardy term for bi-Laplacian
by: Deng, Shengbing, et al.
Published: (2023)

Stability with explicit constants of the critical points of the fractional Sobolev inequality and applications to fast diffusion
by: De Nitti, Nicola, et al.
Published: (2022)

Sharp Nonuniqueness in the Transport Equation with Sobolev Velocity Field
by: Bruè, Elia, et al.
Published: (2024)

Bivariate Hardy-Sobolev Inequality and Its Sharp Stability
by: Zhang, Yingfang, et al.
Published: (2026)

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 note on the Lp-Sobolev inequality
by: Deng, Shengbing, et al.
Published: (2023)

Volume growths versus Sobolev inequalities
by: Kristály, Alexandru
Published: (2025)

Sharp Criteria for the existence of positive solutions to Lane-Emden-type inequalities on weighted graphs
by: Gu, Qingsong, et al.
Published: (2026)