The Besov spaces B_p^(α,4)(Γ)and Triebel-Lizorkin spaces F_p^(α,4)(Γ)with high order x∈R on a Lipschitz curve Γ are defind,when 1≤p≤∞,1≤q≤∞.To compare to the classical case.a difference characterization of...The Besov spaces B_p^(α,4)(Γ)and Triebel-Lizorkin spaces F_p^(α,4)(Γ)with high order x∈R on a Lipschitz curve Γ are defind,when 1≤p≤∞,1≤q≤∞.To compare to the classical case.a difference characterization of such spaces in the case|x|<1 is given also.展开更多
David, Journe and Semmes proved the Tb theorem for para-accreclive funclions and showed this theo- rem is optimal in certain sense. In this note, we give a technical proof of Tb theorem for pseado-accretive functions....David, Journe and Semmes proved the Tb theorem for para-accreclive funclions and showed this theo- rem is optimal in certain sense. In this note, we give a technical proof of Tb theorem for pseado-accretive functions. Our result still holds for para-accreting functions.展开更多
基金The author is supported in part by the Foundation of Zhongshan University Advanced Research Centre and NSF of China.
文摘The Besov spaces B_p^(α,4)(Γ)and Triebel-Lizorkin spaces F_p^(α,4)(Γ)with high order x∈R on a Lipschitz curve Γ are defind,when 1≤p≤∞,1≤q≤∞.To compare to the classical case.a difference characterization of such spaces in the case|x|<1 is given also.
文摘David, Journe and Semmes proved the Tb theorem for para-accreclive funclions and showed this theo- rem is optimal in certain sense. In this note, we give a technical proof of Tb theorem for pseado-accretive functions. Our result still holds for para-accreting functions.
