The concepts of alpha-order Clarke's derivative, alpha-order Adjacent derivative and alpha-order G.Bouligand derivative of set-valued mappings are introduced, their properties are studied, with which the Fritz Joh...The concepts of alpha-order Clarke's derivative, alpha-order Adjacent derivative and alpha-order G.Bouligand derivative of set-valued mappings are introduced, their properties are studied, with which the Fritz John optimality condition of set-valued vector optimization is established. Finally, under the assumption of pseudoconvexity, the optimality condition is proved to be sufficient.展开更多
In this paper, we study the integral solution operators for the -equations on pseudoconvex domains. As a generalization of [1] for the -dequations on pseudoconvex domains with boundary of class C∞, we obtain the ex...In this paper, we study the integral solution operators for the -equations on pseudoconvex domains. As a generalization of [1] for the -dequations on pseudoconvex domains with boundary of class C∞, we obtain the explicit integral operator solutions of C -form for the -equations on pseudoconvex open sets with boundary of Ck (k≥0) and the sup-norm estimates of which solutions have similar as that [1] in form.展开更多
本文给出了满足某些条件的赋范线性空间上联合逼近的α阶强唯一性定理,利用这些定理获得了:若G是L<sub>P</sub>(H<sup>K.P</sup>)中的联合太阳集(或弱拟凸集,如果g<sub>o</sub>是G中对F={f<sub&...本文给出了满足某些条件的赋范线性空间上联合逼近的α阶强唯一性定理,利用这些定理获得了:若G是L<sub>P</sub>(H<sup>K.P</sup>)中的联合太阳集(或弱拟凸集,如果g<sub>o</sub>是G中对F={f<sub>i</sub>}∈σ联合最佳逼近,则M】O,存在C<sub>P</sub>】O,使得g∈G∩B（g<sub>o</sub>,M）有sum from i=1 to ∞γ<sub>i</sub>‖f<sub>i</sub>-g‖<sup>p</sup>≥sum from i=1 to ∞γ<sub>i</sub>‖f<sub>i</sub>-g<sub>o</sub>‖<sup>p</sup>+C<sub>p</sub>‖g-g<sub>o</sub>‖<sup>α</sup>。其中α=max（2,P）展开更多
We discuss some recent results on interpolation problems for weighted Hrmander’s algebras of holomorphic functions in several complex variables, and also give a sharp estimate on counting functions of interpolating v...We discuss some recent results on interpolation problems for weighted Hrmander’s algebras of holomorphic functions in several complex variables, and also give a sharp estimate on counting functions of interpolating varieties.展开更多
基金the National Natural Science Foundation(69972036) and the Natural Science Foundation of Shanxi province(995L02)
文摘The concepts of alpha-order Clarke's derivative, alpha-order Adjacent derivative and alpha-order G.Bouligand derivative of set-valued mappings are introduced, their properties are studied, with which the Fritz John optimality condition of set-valued vector optimization is established. Finally, under the assumption of pseudoconvexity, the optimality condition is proved to be sufficient.
文摘In this paper, we study the integral solution operators for the -equations on pseudoconvex domains. As a generalization of [1] for the -dequations on pseudoconvex domains with boundary of class C∞, we obtain the explicit integral operator solutions of C -form for the -equations on pseudoconvex open sets with boundary of Ck (k≥0) and the sup-norm estimates of which solutions have similar as that [1] in form.
文摘本文给出了满足某些条件的赋范线性空间上联合逼近的α阶强唯一性定理,利用这些定理获得了:若G是L<sub>P</sub>(H<sup>K.P</sup>)中的联合太阳集(或弱拟凸集,如果g<sub>o</sub>是G中对F={f<sub>i</sub>}∈σ联合最佳逼近,则M】O,存在C<sub>P</sub>】O,使得g∈G∩B（g<sub>o</sub>,M）有sum from i=1 to ∞γ<sub>i</sub>‖f<sub>i</sub>-g‖<sup>p</sup>≥sum from i=1 to ∞γ<sub>i</sub>‖f<sub>i</sub>-g<sub>o</sub>‖<sup>p</sup>+C<sub>p</sub>‖g-g<sub>o</sub>‖<sup>α</sup>。其中α=max（2,P）
文摘We discuss some recent results on interpolation problems for weighted Hrmander’s algebras of holomorphic functions in several complex variables, and also give a sharp estimate on counting functions of interpolating varieties.
