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The optimal constant in the \(L^2\) Folland-Stein inequality on the H-type group - MaRDI portal

The optimal constant in the \(L^2\) Folland-Stein inequality on the H-type group (Q6184583)

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scientific article; zbMATH DE number 7794585

Language	Label	Description	Also known as
English	The optimal constant in the \(L^2\) Folland-Stein inequality on the H-type group	scientific article; zbMATH DE number 7794585

Statements

scholarly article

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The optimal constant in the \(L^2\) Folland-Stein inequality on the H-type group (English)

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Journal of Functional Analysis

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publication date

25 January 2024

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full work available at URL

https://arxiv.org/abs/2301.03332

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zbMATH Keywords

Folland-Stein inequality

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Heisenberg group

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H-type group

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best constant

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MaRDI profile type

MaRDI publication profile

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A note on the Sobolev inequality

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Nonlinear Liouville theorems for some critical problems on \(H\)-type groups.

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Sobolev inequalities with remainder terms

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Remainder terms in the fractional Sobolev inequality

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Sharp Hardy-Littlewood-Sobolev inequalities on quaternionic Heisenberg groups

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Sharp Hardy-Littlewood-Sobolev inequalities on the octonionic Heisenberg group

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\(H\)-type groups and Iwasawa decompositions

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Subelliptic estimates and function spaces on nilpotent Lie groups

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Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group

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Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28

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Sharp constants in several inequalities on the Heisenberg group

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A New, Rearrangement-free Proof of the Sharp Hardy–Littlewood–Sobolev Inequality

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Symmetry properties of positive entire solutions of Yamabe-type equations on groups of Heisenberg type

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Regularity near the characteristic set in the nonlinear Dirichlet problem and conformal geometry of sub-Laplacians on Carnot groups.

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Extremals for the Sobolev inequality on the seven-dimensional quaternionic Heisenberg group and the quaternionic contact Yamabe problem

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The optimal constant in the L2 Folland-Stein inequality on the quaternionic Heisenberg group

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The Yamabe problem on CR manifolds

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Extremals for the Sobolev Inequality on the Heisenberg Group and the CR Yamabe Problem

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Intrinsic CR normal coordinates and the CR Yamabe problem

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Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms

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Improved Sobolev inequalities on the Heisenberg group

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On a Sobolev inequality with remainder terms

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An Extension Problem and Trace Hardy Inequality for the Sub-Laplacian on H-type Groups

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Existence of solutions and regularity near the characteristic boundary for sub-Laplacian equations on Carnot groups

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Identifiers

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.JFA.2023.110209

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Sitelinks

Mathematics(1 entry)

mardi Publication:6184583

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