Traces of Sobolev spaces on Ahlfors sets of Carnot groups

DOI10.1134/S1064562406060044zbMath1207.46034MaRDI QIDQ610502

I. M. Pupyshev, Sergei Vodop'yanov

Publication date: 8 December 2010

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

Sobolev spacestracesCarnot groupAhlfors sets

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Analysis on other specific Lie groups (43A80) Hypoelliptic equations (35H10) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Cites Work

• Whitney-type theorems on extension of functions on Carnot groups
• Subelliptic estimates and function spaces on nilpotent Lie groups
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
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