Contenu
Characterization of W1(Lloc1(Rd),Tp,α(Rd)) and W1(Lloc1(Rd),Mp,α(Rd))
Domion DOUYON (1) and MOUMINE SANOGO (2)
D.E.R Mathématiques et Informatique, Université
BPE 3206 Bamako, Mali
Mathematics Subject Classification: (MSC 2010) 46E35, 46E27, 35A02, 47G40
Key words : amalgam space, Sobolev space, Bounded variation.
Abstract:
In this paper we give a characterization of the spaces
W1 and W1
(1 ≤ α ≤ p ≤∞) in terms
of difference quotients smilar to the classical one of W1,α(ℝd) (1 < α ≤∞)
and BV (ℝd).