上有界的

Based on the concepts of asymptotic center point and the asymptotic radius, this paper discusses the existence and the weak convergence of the fixed point in the multi_valued asymptotically nonexpansive mappings.

本文借助于渐近中点、渐近半径的概念，得到一致凸Banach空间中非空有界闭凸子集上的连续集值渐近非扩张映射有不动点。

In chapter 2, we give some equivalent charcterizations of Bloch space and little Bloch space.

第二章给出有界强拟凸域上Bloch空间、小Bloch空间的等价刻划，也给出了Bergman空间上复合算子紧性的等价描述。

In this paper, Chapter One describes the equivalent characterization of Bloch type space on the unit ball. By using it, a new condition is given, under which the composition operation between Bloch type space on the unit ball will be a bounded operator.

本文第一章给出了单位球上Bloch型空间的等价刻划，作为应用得到了单位球上Bloch型空间之间复合算子为有界算子的一种新条件。

The results show that this class of equation possesses at least one solution or one positive solution if the "height" of its nonlinear item is appropriate in a bounded set.

结果表明，只要非线性项在某个有界集上的"高度"是适当的，这类方程至少有一个解或者正解。

Besides, through the study of essentially bounded functions on the unit circle, we get the necessary and sufficient conditions for the essential commutativity of k~-order slant Toeplitz operators with special symbols.

在此基础上，通过对单位圆周T上本性有界函数性质的研究，给出了以特殊函数为符号的两个k阶斜Toeplitz算子本性可交换的充要条件。

Tan and Xu [1] had proved the theorem on convergence of Ishikawa iteration processes of asymptotically nonexpansive mapping on a compact convex subset of a uniform convex Banach space , Then Liu Qihou [3] presents the necessary and sufficient conditions for the Ishikawa iteration of asymptotically quasi-nonexpansive mapping with an error member on a Banach space convergent to a fixed point . Xu and Noor [5] had proved the theorem on convergence of three-step iterations of asymptotically nonexpansive mapping on nonempty closed, bounded and convex subset of uniformly convex Banach space.

Tan和Xu已经证明了建立在一致凸Banach空间紧凸子集上的渐进非扩张映射的Ishikawa迭代序列的收敛原理，随之，刘齐侯又阐述了Banach空间上渐进准非扩张映射T的具误差的Ishikawa迭代序列收敛于T的不动点的充分必要条件；之后，Xu和Noor也证明了定义在一致凸Banach空间某非空有界闭凸子集上的渐进非扩张映射的三步迭代序列的收敛原理。

Some results related to invertible matrices over bounded distributive lattice are generalized to matrices over incline.

将有界分配格上可逆矩阵的有关结果推广到坡上的矩阵。

In chapter 1, we introduce the definitions of area integral S_β and invariant g-function on unit sphere, and study their boundedness on BMO and non-isotropic Lipschitz spaces.

共分三章，第一章引进了C~n单位球面上的面积积分和不变g函数，研究它们在BMO空间以及non-isotropic Lipschitz空间上的有界性问题。

Furthermore it describes the norm equivalence of therearrangement invariant martingale spaces acted by the greater operator and the smaller operator, and it represents the norm equivalence of these spaces acted by maximal operator and square operator more deeply.

第五章考虑了重排不变鞅空间框架下的一致可积性与上、下算子以及极大算子、均方算子作用在鞅及其相伴鞅所成空间上的有界性。

Optimalerror estimates in L2-norm and H1-norm are obtained.Model:The mathematical model for two phase incompressible flow innaturally fractured reserviors is[34]:Supposeis a bounded domain with smoothy boundary,the rock ispresented byΩi,the volume of the fissures is small,Ωm=Ω.In the fissures Ω:s(x,0)=s0,x∈Ωin the rock Ωi:where J=0,T.

模型：裂缝孔隙介质中油水两相不可压缩驱动问题的数学模型为[34]：设〓为具有光滑边界的有界凸域，其中多孔岩块以Ωi表示，Ωm＝∑Ωi，因裂缝体积很小，可以认为Ωm＝Ω。x在裂缝系统Ω上：〓s(x，0)＝s0，x∈Ω在任一岩块Ωi上：〓其中J＝0，T。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。