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The Besov spaces B<sub>p</sub><sup>α,4</sup>（Γ）and Triebel-Lizorkin spaces F<sub>p</sub><sup>α,4</sup>（Γ）with high order x∈R ona Lipschitz curve Γ are defind,when 1≤p≤∞,1≤q≤∞.To compare to the classicalcase.