on a smooth compact
manifold
without boundary, using a localization procedure without partition
of unity.
Full paper in PDF:
$% F. Gastaldi and G. Gilardi, On a definition of seminorm in Ws,p(Γ),
Rev. Mat. Univ. Complut. Madrid 2 (1989), no. 2, 3, 229–240.%$
On a Definition of Seminorm in Ws,p(Γ)
A definition of seminorm in the Sobolev space
on a smooth compact
manifold
without boundary, using a localization procedure without partition
of unity.
1980 Mathematics Subject Classification (1985 revision): 46E35.