Logarithmic Hardy-Littlewood-Sobolev inequality on pseudo-Einstein 3-manifolds and the logarithmic Robin mass (Q6109904)

scientific article; zbMATH DE number 7720469

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English	Logarithmic Hardy-Littlewood-Sobolev inequality on pseudo-Einstein 3-manifolds and the logarithmic Robin mass	scientific article; zbMATH DE number 7720469

Statements

instance of

scholarly article

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title

Logarithmic Hardy-Littlewood-Sobolev inequality on pseudo-Einstein 3-manifolds and the logarithmic Robin mass (English)

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author

Ali Maalaoui

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published in

Publicacions Matemàtiques

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publication date

31 July 2023

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full work available at URL

https://arxiv.org/abs/1911.07226

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zbMATH Keywords

logarithmic Hardy-Littlewood-Sobolev inequality

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spectral zeta function

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pseudo-Einstein CR manifolds

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MaRDI profile type

MaRDI publication profile

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cites work

Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire

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Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality

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The Spectral Theory of Toeplitz Operators. (AM-99)

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Moser-Trudinger and Beckner-Onofri's inequalities on the CR sphere

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Conformally Invariant Operators, Differential Forms, Cohomology and a Generalisation of Q-Curvature

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Competing symmetries, the logarithmic HLS inequality and Onofri's inequality on $S^ n$

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A remark on the kernel of the CR Paneitz operator

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An integral formula for the $Q$-prime curvature in 3-dimensional CR geometry

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Extremal metrics for the $Q^\prime$-curvature in three dimensions

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A Paneitz-type operator for CR pluriharmonic functions

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Conformal invariants and partial differential equations

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Extremal metrics of zeta function determinants on 4-manifolds

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Embeddability for 3-dimensional Cauchy-Riemann manifolds and CR Yamabe invariants

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A positive mass theorem in three dimensional Cauchy-Riemann geometry

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$Q$-curvature and Poincaré metrics

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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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Sharp constants in several inequalities on the Heisenberg group

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Conformally Invariant Powers of the Laplacian, I: Existence

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Prescribing the $ Q^\prime $-curvature in three dimension

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On CR Paneitz operators and CR pluriharmonic functions

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The Yamabe problem on CR manifolds

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Psuedo-Einstein Structures on CR Manifolds

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Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities

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Prescribing the $\overline{Q}^\prime$-curvature on pseudo-Einstein CR 3-manifolds

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The logarithmic Hardy-Littlewood-Sobolev inequality and extremals of zeta functions on $S^ n$

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Q5284131

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Sharp inequalities for functional integrals and traces of conformally invariant operators.

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Extremals for logarithmic Hardy-Littlewood-Sobolev inequalities on compact manifolds

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Estimates for the Bergman and Szegö projections on strongly pseudo-convex domains

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Noncommutative residue for Heisenberg manifolds. Applications in CR and contact geometry

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Heisenberg calculus and spectral theory of hypoelliptic operators on Heisenberg manifolds

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A geometrical mass and its extremal properties for metrics on $S^2$

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Identifiers

zbMATH Open document ID

1529.53026

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arXiv ID

1911.07226

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Mathematics Subject Classification ID

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10.5565/PUBLMAT6722302

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Sitelinks

Mathematics(1 entry)

mardi Publication:6109904