Sobolev Algebras Through a ‘Carré Du Champ’ Identity

DOI10.1017/S0013091518000214zbMath1427.46022arXiv1612.00280OpenAlexW2883552962MaRDI QIDQ5228187

Dorothee Frey, Frédéric Bernicot

Publication date: 9 August 2019

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.00280

zbMATH Keywords

Sobolev spaceheat semigroupalgebra property

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) One-parameter semigroups and linear evolution equations (47D06) Harmonic analysis on homogeneous spaces (43A85)

Related Items (4)

Homogeneous algebras via heat kernel estimates ⋮ Trilinear embedding for divergence-form operators with complex coefficients ⋮ Sobolev algebras on Lie groups and noncommutative geometry ⋮ On harmonic Hilbert spaces on compact abelian groups

Cites Work

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• Commutator estimates and the euler and navier-stokes equations
• Heat kernel estimates and functional calculi of $-b \Delta$

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