TRACE AND TRACE LIFTING THEOREMS IN WEIGHTED SOBOLEV SPACES

DOI10.1017/S1474748005000150zbMath1089.35016OpenAlexW2003204758MaRDI QIDQ5715526

Jean-Yves Chemin, Chao-Jiang Xu, Hajer Bahouri

Publication date: 3 January 2006

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1474748005000150

zbMATH Keywords

Heisenberg groupHörmander conditionWeyl-Hörmander calculustrace and trace lifting

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Hypoelliptic equations (35H10) Pseudodifferential operators (47G30)

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Construction of Sobolev spaces of fractional order with sub-Riemannian vector fields ⋮ Hardy-type inequalities for the Carnot-Carathéodory distance in the Heisenberg group ⋮ Singular periodic solutions to a critical equation in the Heisenberg group ⋮ Horizontal magnetic fields and improved Hardy inequalities in the Heisenberg group ⋮ The trace problem for Sobolev spaces over the Heisenberg group ⋮ Unnamed Item ⋮ A trace theorem for Martinet-type vector fields ⋮ Unnamed Item ⋮ EXTENSION AND RESTRICTION THEOREMS IN ANISOTROPIC BESOV SPACES ⋮ Critical exponent of Fujita-type for the semilinear damped wave equation on the Heisenberg group with power nonlinearity ⋮ A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields ⋮ Trace theorem on the Heisenberg group ⋮ A survey of Hardy type inequalities on homogeneous groups

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