### On traces for H(curl;Omega) in Lipschitz domains

*Annalisa Buffa, Martin Costabel and Dengwoo Sheen*

We study tangential vector fields on the boundary of a bounded Lipschitz domain Omega in R3.
Our attention is focused on the definition of suitable Hilbert spaces corresponding to fractional
Sobolev regularities and also on the construction of tangential differential
operators on the non-smooth manifold.
The theory is applied to the characterization of tangential traces for the space H(curl,Omega).
Hodge decompositions are provided for the
corresponding trace spaces, and an integration by parts formula is proved.

*J. Math. Anal. Appl.* ** 276** (2002), 845-867.