In this note, the author introduces some new subcIasses of starlike mappings S^＊Ωn1p2,…,pn（β,A,B）={f∈H（Ω）：｜itanβ＋（1-itanβ）2/p（z）аp/аz（z）Jf^-1（z）f（z）-1-AB/1-B^2｜〈B-A/1-B^2},on Reinhardt dom...In this note, the author introduces some new subcIasses of starlike mappings S^＊Ωn1p2,…,pn（β,A,B）={f∈H（Ω）：｜itanβ＋（1-itanβ）2/p（z）аp/аz（z）Jf^-1（z）f（z）-1-AB/1-B^2｜〈B-A/1-B^2},on Reinhardt domains Ωn1p2,…,pn=z∈C^n：｜z1｜^2＋n∑j=2｜zj｜^pj〈1}where - 1≤A〈B〈1,q=min{p2,…,pn}≥1,l=max{p2,…,pn}≥2 and β ∈（-π/2,π/2）.Some different conditions for P are established such that these classes are preserved under the following modified Roper-Suffridge operator F（z）=（f（z1）＋f＇（z1）Pm（z0）,（f＇（z1））^1/mz0）＇where f is a normalized biholomorphic function on the unit disc D, z = （z1,z0） ∈Ωn1p2,…,pn,z0=（z2,…,zn）∈ C^n-1.Another condition for P is also obtained such that the above generalized Roper-Suffridge operator preserves an almost spirallike function of type/3 and order β These results generalize the modified Roper-Suffridge extension oper-ator from the unit ball to Reinhardt domains. Notice that when p2 = p3 …=pn = 2,our results reduce to the recent results of Feng and Yu.展开更多
In this paper,we prove that a proper μ holomorphic mapping f:D 1→D 2 between bounded domains with some convexity,such that f satisfies some growth condition,extends smoothly to bD 1-{z:U(z)=0}.
In this paper, first we introduce notions of (α, Ψ)-contractive and (α)-admissible for a pair of map and prove a coupled coincidence point theorem for compatible mappings using these notions. Our work extends and g...In this paper, first we introduce notions of (α, Ψ)-contractive and (α)-admissible for a pair of map and prove a coupled coincidence point theorem for compatible mappings using these notions. Our work extends and generalizes the results of Mursaleen et al. [1]. At the end, we will provide an example in support of our result.展开更多
目的研究阿魏酸钠(sod ium feru late)对抗Aβ25-35致大鼠学习记忆障碍与白介素-1β(IL-1β)和丝裂原激活的蛋白激酶p38(M itogen-activated prote in k inase,p38MAPK)表达的相关性。方法大鼠脑室内一次性注射Aβ25-35制备AD动物模型,...目的研究阿魏酸钠(sod ium feru late)对抗Aβ25-35致大鼠学习记忆障碍与白介素-1β(IL-1β)和丝裂原激活的蛋白激酶p38(M itogen-activated prote in k inase,p38MAPK)表达的相关性。方法大鼠脑室内一次性注射Aβ25-35制备AD动物模型,通过大鼠行为学和海马CA1区的病理学改变观察阿魏酸钠的作用。W estern b lot和ELISA方法检测磷酸化p38MAPK和IL-1β蛋白表达量的变化。RT-PCR分析FasLmRNA表达水平。结果脑室内注射Aβ25-35可使大鼠出现明显的学习记忆障碍,即逃避潜伏期明显延长,原平台象限游泳时间占总游泳时间百分比明显降低。这些行为学的改变伴随有海马CA1区星形胶质细胞激活和浸润,IL-1β蛋白表达和FasL mRNA表达水平明显增加,海马CA1区锥体神经元损伤。另外,Aβ25-35也能引起磷酸化的p38MAPK蛋白表达明显增加。阿魏酸钠(50,100,250 mg.kg-1,连续应用4 wk)与阳性对照药布洛芬(15 mg.kg-1)均能明显对抗Aβ25-35所致大鼠学习记忆障碍,抑制Aβ25-35引起的IL-1β、磷酸化p38MAPK和FasL mRNA表达增加,海马CA1区锥体神经元的损伤和星形胶质细胞激活和浸润也被明显减轻。结论阿魏酸钠通过抑制Aβ25-35引起的海马炎症反应和p38MAPK活性,减轻大鼠海马锥体神经元的损伤,改善大鼠的学习记忆功能。展开更多
基金supported by the National Natural Science Foundation of China(11001246,11101139)Zhejiang Innovation Project(T200905)
文摘In this note, the author introduces some new subcIasses of starlike mappings S^＊Ωn1p2,…,pn（β,A,B）={f∈H（Ω）：｜itanβ＋（1-itanβ）2/p（z）аp/аz（z）Jf^-1（z）f（z）-1-AB/1-B^2｜〈B-A/1-B^2},on Reinhardt domains Ωn1p2,…,pn=z∈C^n：｜z1｜^2＋n∑j=2｜zj｜^pj〈1}where - 1≤A〈B〈1,q=min{p2,…,pn}≥1,l=max{p2,…,pn}≥2 and β ∈（-π/2,π/2）.Some different conditions for P are established such that these classes are preserved under the following modified Roper-Suffridge operator F（z）=（f（z1）＋f＇（z1）Pm（z0）,（f＇（z1））^1/mz0）＇where f is a normalized biholomorphic function on the unit disc D, z = （z1,z0） ∈Ωn1p2,…,pn,z0=（z2,…,zn）∈ C^n-1.Another condition for P is also obtained such that the above generalized Roper-Suffridge operator preserves an almost spirallike function of type/3 and order β These results generalize the modified Roper-Suffridge extension oper-ator from the unit ball to Reinhardt domains. Notice that when p2 = p3 …=pn = 2,our results reduce to the recent results of Feng and Yu.
文摘In this paper,we prove that a proper μ holomorphic mapping f:D 1→D 2 between bounded domains with some convexity,such that f satisfies some growth condition,extends smoothly to bD 1-{z:U(z)=0}.
文摘In this paper, first we introduce notions of (α, Ψ)-contractive and (α)-admissible for a pair of map and prove a coupled coincidence point theorem for compatible mappings using these notions. Our work extends and generalizes the results of Mursaleen et al. [1]. At the end, we will provide an example in support of our result.
