Extension of Sobolev spaces on the Heisenberg group (original) (raw)

Comptes Rendus de l Académie des Sciences - Series I - Mathematics

Abstract

We announce the following result: if a domain Ω on the Heisenberg group ℍ n satisfies the (ε,δ) condition, then there is a bounded extension operator ℰ from ℒ k,p (Ω) into ℒ k,p (ℍ n ) where 1≤k, 1≤p≤∞.

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