Abstract

The Besov spacesB p α,μ (Γ) and Triebel-Lizorkin spacesF p α,μ (Γ) with high order α∈R on a Lipschitz curve Γ are defined. when 1≤p≤∞, 1≤q≤∞. To compare to the classical case a difference characterization of such spaces in the case |α|<1 is given also.

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