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We also study the weighted composition operators between Hardy spaces on the unit ball, as well as between Bergman spaces. Some equivalent conditions that the operators are bounded or compact are given in term of the Carleson type measure.

另外,我们也考虑了单位球上Hardy空间之间及Bergman空间之间的加权复合算子,利用Carleson型测度,给出了有界和紧性的等价条件。

A brief developing history of function spaces is given in chapter one and the spaces Q_k of analytic in the unit disk are introduced.

引言概述了函数空间的发展历史,介绍了Q_K空间的由来和研究Q_K空间的意义。

Convex modulus depicted overall degree of convexity of the unit sphere of spaces. It was very different for degree of convexity of each point that it would produce very great influence on the whole feature of the spaces.

凸性模刻划了空间单位球面的总体凸性程度,但是每一点的凸性程度都有很大的不同,这将会对空间的整体性质产生很大影响。

Yet, because of the shortage of land in urban, it is impossible to increase the green spaces'areas unlimitedly. Therefore, how to improve the ecological effects of green spaces while controlling their area becomes an urgent problem.

但目前城市用地紧张,不能满足单一的城市绿地面积扩增,如何在有限的增加绿地面积的同时,提高其生态效益就成了急待解决的问题。

Finally more unspectacular examples of counterfactual spaces are supplied and counterfactual spaces and metaphors are briefly contrasted.

我们在理解这个虚拟句时也必须建立非常复杂的虚拟复合空间,要将美国的政治事件和法国的文化态度进行整合。

As a consequence of this result,the coefficient for Nakano spaces l is found. Chapter 4 Weak topology in Musielak-Orlicz sequence spaces:According to the requirement of various theories and application , there are many generalizations of Orlicz space .

第四章Musielak-Orlicz 空间的弱拓扑:根据各种学科发展和应用的需要,Orlicz 空间有各种不同形式的推广,Musielak-Orlicz 空间是较为常见的一种。

By properties of a real function, fixed points problem on two complete metric spaces are discussed.The result generalizes corresponding result of Fisher.Moreover, this result provides a general convergence rate estimate. Meanwhile, we discuss the existence of fixed point on two normed linear spaces under the condition of weak topology, and we obtain a new fixed point theorem.

利用实函数性质,讨论了两个不同度量空间中两个映象乘积的不动点问题,推广了Fisher的主要结果,并给了出逼近不动点的敛速估计;同时,在弱拓扑的意义下,利用分析的方法,讨论了赋范空间中有关映象不动点的存在性,得到一个新的不动点定理。

Recently,atoms with higher order vanishing moment were defined by Krant-z etc on some particular spaces of homogeneous type,but it hasn't been solvedthoroughly on usual spaces of homogeneous type.On the other hand,krantz'sstudy was made under the condition which the measure of the sets constructedby single element is zero,therefore their work didn't include the case of integ-er Z as a particular space of homogeneous type.Indeed,as a Hardy space on Z,〓(0<p≤1)has been studied by some scholars.

尽管近来Krantz等人在某些齐型空间上定义了带高阶消失矩的原子,但在一般的齐型空间上建立带高阶消失矩的原子Hardy空间还没有完全解决,而且Krantz等人的工作是在单点集测度为零的条件下讨论的,因而不包括作为齐型空间的整数Z的情形。Z作为一类特殊的齐型空间,其上Hardy空间〓的问题有不少学者讨论过。

Results: Lateral extradural approach could be used to expose the second and third branches of trigeminal nerve,trigeminal ganglion,posterior vertical segment of the intrapetrosal ICA,abducent nerve and horizontal segment of the intrapetrosal ICA;lateral intradural approach could be used to expose the lateral,anteroinferior and posterosuperior venous spaces,almost all the cranial nerves within the cavernous sinus and horizontal segments of the intracavernous ICA;superior approach could be used to expose the medial,lateral and posterosuperior venous spaces,medial side of the anterior genu,anterior vertical and clinoidal segments of the intracavernous ICA and the lateral side of the hypophysis.

结果:外侧硬膜外入路可用于显露三叉神经第2、3支,三叉神经节,海绵窦内颈内动脉后垂直段,外展神经及岩骨颈内动脉水平段;侧方硬膜下入路可用于显露海绵窦外侧及前下,后上静脉间隙,以及所有走行在海绵窦内的颅神经和海绵窦内颈内动脉水平段;上方入路可用于显露海绵窦内侧、外侧及后上间隙,海绵窦内ICA水平段、前膝、前垂直段及床突段的内侧面,以及垂体的外侧面。

Grew on the normal temperature, it was shown that the deposits of calcium antimonate being the indicator for Ca(superscript 2+) localization mainly concentrated within the vacuoles and intercellular spaces and there was also some Ca(superscript 2+) deposits in cell walls. But when Garyota urens L. was treated by the temperature of 2℃ for 48 h, the level of Ca(superscript 2+) increased in cytoplasm and plasma membrane, but decreased in vacuoles and intercellular spaces considerably. At the same time, the ultrastructure of chloroplasts suffered from chilling: the membrane of chloroplasts had been damaged, the layer of thylakoids was exiguous and unclear, the photosynthetic rate decreased evidently. And when Garyota urens L. was treated by the temperature of 2℃ for 120 h, the deposits of Ca(superscript 2+) mainly concentrated within the cytoplasm, nucleus and plasma membrane and there was also some Ca(superscript 2+) deposits in vacuoles, and the ultrastructure of some cells was simultaneously damaged severely: Chloroplasts structure, vacuole membrane and nuclear membrane had been damaged fully, the structure within the cell had become unclear, and the cell only have respiration.

研究结果表明,未经低温处理的董棕幼苗叶肉细胞,焦锑酸钙沉淀颗粒大量出现在液泡和细胞间隙中,细胞壁中也可见少量沉淀,而细胞基质中则看不到焦锑酸钙沉淀;经2℃ 48 h低温处理后,细胞基质和细胞膜上焦锑酸钙沉淀增加,而液泡和细胞间隙中的焦锑酸钙沉淀则显著减少,并且超微结构已初步显示出寒害的特徵,叶绿体外膜部分破损,类囊体片层稀疏且排列不规则,光合速率明显下降等;经2℃ 120 h低温处理后,细胞间隙内的焦锑酸钙沉淀极少,有的也紧贴在细胞外壁上,而细胞基质和细胞膜上则分布有非常多的焦锑酸钙沉淀,在核基质和液泡中也可见到少量的焦锑酸钙沉淀,并且超微结构遭到了显著破坏,叶绿体结构完全被破坏,核膜与液泡膜严重破损,内部结构模糊,细胞只表现为呼吸作用,不进行光合作用。

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