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Feeling the heat in a group of Heisenberg type (Q2656147)

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Language	Label	Description	Also known as
English	Feeling the heat in a group of Heisenberg type	scientific article

Statements

scholarly article

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Feeling the heat in a group of Heisenberg type (English)

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Nicola Garofalo

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Advances in Mathematics

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publication date

10 March 2021

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full work available at URL

https://arxiv.org/abs/2007.07708

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zbMATH Keywords

extension problems

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conformal invariance

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fundamental solutions

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MaRDI profile type

MaRDI publication profile

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Fractional powers of closed operators and the semigroups generated by them

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Sur une classe d'opérateurs elliptiques dégénérés

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Fundamental solutions for powers of the Heisenberg sub-Laplacian

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Spectrum generating operators and intertwining operators for representations induced from a maximal parabolic subgroup

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

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An Extension Problem Related to the Fractional Laplacian

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\(H\)-type groups and Iwasawa decompositions

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Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one

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Heat kernels for class 2 nilpotent groups

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Subadditivity of Homogeneous Norms on Certain Nilpotent Lie Groups

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Harnack inequality for fractional sub-Laplacians in Carnot groups

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A fundamental solution for a subelliptic operator

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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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An extension problem for the CR fractional Laplacian

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Sharp constants in several inequalities on the Heisenberg group

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Some properties of sub-Laplaceans

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Fractional thoughts

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A class of nonlocal hypoelliptic operators and their extensions

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

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Least action principle, heat propagation and subelliptic estimates on certain nilpotent groups

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CR invariant powers of the sub-Laplacian

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Compatibility operators for degenerated elliptic equations on the ball and Heisenberg group

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Scattering matrix in conformal geometry

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Hypoelliptic second order differential equations

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The distribution of energy in the Brownian motion in the Gaussian field and analytic-hypoellipticity of certain subelliptic operators on the 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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Composition Series and Intertwining Operators for the Spherical Principal Series. I

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

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Boundary Behavior of Harmonic Forms on a Rank One Symmetric Space

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Intertwining operators for semisimple groups

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Kelvin transforms and harmonic polynomials on the Heisenberg group

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Quasiconformal mappings on the Heisenberg group

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On boundary value problems for some conformally invariant differential operators

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Classical Expansions and Their Relation to Conjugate Harmonic Functions

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Hardy's inequality for fractional powers of the sublaplacian on the Heisenberg group

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

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Identifiers

zbMATH Open document ID

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10.1016/j.aim.2021.107635

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2656147

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