On properties of geometric preduals of ${\mathbf C^{k,\omega}}$ spaces

Abstract

Let C k,ω b (R n ) be the Banach space of C k functions on R n bounded together with all derivatives of order ≤ k and with derivatives of order k having moduli of continuity majorated by c · ω, c ∈ R+, for some ω ∈ C(R+). Let C k,ω |D α f (x)| 2010 Mathematics Subject Classification. Primary 46B20; Secondary 46E15.