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 is bounded 有界(133)是有界的(27)上有界(14)
 有界
 T∶D(T)X→2~X is a m-accretive operator,C∶D(T)→X is bounded operator. T∶D(T)X→2X是m-增生算子,C∶D(T)→X是有界算子. 短句来源 Stein showed that T is bounded on L~p(R~n) (1 < p < ∞). Stein证明了T在L~ρ(R~n)(1有界。 短句来源 (f)If Y∈INV(T) and σ-(T|Y) is bounded,then Y(?) 。 (f)若 Y∈INV(T)且σ(T|Y)有界,那末 Y(?) 短句来源 . We prove if is bounded,then ‖Tnxn-xn‖= 0.. 证明了如果xn有界,则limn→∞‖Tnxn-xn‖=0.. 短句来源 conjecture (I_1)~2 Let 0is bounded. 猜想(Ⅰ_b):设0有界。 短句来源 更多
 是有界的
 The Cesàro Operator is Bounded on S~P for 0 S~P(0是有界的 短句来源 The Cesàro Operator is Bounded on S 1 S~1上的Cesàro算子是有界的 短句来源 Every non-negative solution of the difference equation x_(n+1)=α+βx_n+γx_(n-1)A+Bx_n+Cx_(n-1),n=0,1,… where C∈(0,+∞),is bounded. 证明差分方程xn+1=α+βxn+γxn-1A+B xn+Cxn-1,n=0,1,…当C∈(0,+∞)时每个非负解是有界的. 短句来源 Let X be a real sequentially complete locally convex spaceLetT:X→2Y be a convex processSuppose that the domain Dom(T) of T is a closed subspace of X In this paper we show that for every separable subspace M of X ,if the restriction T|Dom(T)∩Mis absolutely measurable,then T is bounded 设X是实序列完备的局部凸拓扑向量空间，Y是拓扑向量空间．设T：X→2Y是凸过程（ConvexProcess），且它的定义域Dom（T）是X的闭子空间．本文证明了若对X上的每一可分子空间M，T在M上的限制是绝对可测的，则T是有界的． 短句来源 Using H(o··)lder inequality and extended Minkowski inequality, a sufficient condition on the weight function v (x)≥0 is obtained such that the Hardy-Littlewood maximal operator is bounded from L~p_B (R~ n, ω dx) to L~p (R~ n , v dx) for some ω (x)<∞, a. e x∈R~ n . lder不等式及广义Minkowski不等式,对给定的权函数v(x)≥0存在另一个权函数ω(x)<∞,a. ex∈Rn,使得Hardy-Littlewood极大算子从LpB(Rn,ωdx)到Lp(Rn,vdx)是有界的. 短句来源 更多
 上有界
 Stein showed that T is bounded on L~p(R~n) (1 < p < ∞). Stein证明了T在L~ρ(R~n)(1上有界。 短句来源 (II) Dxf(t,x) is bounded on R×D(D is a domain,0 D=Rn); ii）Dxf（t，x）在R×D上有界（D是Rn中含原点的一个区域）； 短句来源 As a corollary, it is deduced that the operator T_(q, b)~* is bounded on L~P(ω) when ω ∈ A_p and admits a corresponding weighted L(log L)~(1/r)-type estimate with ω ∈A_1. )~*在L~p(ω)上有界,其中ω∈A_p。 当ω∈A_1时,满足加权L(logL)~(1/r)型估计。 短句来源 Several equivalent conditions of boundedness of operator S_(2,1) on two indexes and two dimensions Lorentz spaces Λ~(p,q)_2(w) are obtained,and necessary conditions of u,v are found when S_(2,1) is bounded on Λ~(p,q)_2(uv) by virtue of the properties of two dimensional decreasing rearrangement. 借助于二维递减重排的性质,给出了算子S2,1在二指标二维Lorentz空间上的有界的几个等价命题以及当算子S2,1在Λp,2 q(uv)上有界时权u,v所需满足的必要条件. 短句来源 (B) Every bounded solution for (-1)~nu~((2n))+f(t, u)=0, in R, must be constant, provided f(t, z)z ≥0 in R×R and for every bounded subset I, is bounded in R×I. (B)假设在R×R上f(t,z)z≥ 0 ,且对于每一有界子集I,f(t,z)在R×I上有界 ,则方程 (- 1) nu( 2n) +f(t,u) =0在R内的每一有界解都是常数 . 这些结论推广了JonesGD (1991)的结果 短句来源 更多
 是有界
 T∶D(T)X→2~X is a m-accretive operator,C∶D(T)→X is bounded operator. T∶D(T)X→2X是m-增生算子,C∶D(T)→X是有界算子. 短句来源 ((?) ,x)=w(?) for x∈Ω, where the operator A=L_1+L_2,L_1 is symmetric and V-elliptic,L_2 is bounded, L_1~(-1)L_2 is compact in the Hilpert space Ⅴ. 的半离散 Galerkin 逼近的收敛性,其中算子 A=L_1+L_2,L_1是对称和 V-椭圆的,L_2是有界算子,L_1~(-1)L_2是希尔伯特空间 V 中的全连续算子。 短句来源 Let iAj (1≤j≤n) be commuting generators of bounded C_0-groups, P(A)=sum form ｜μ｜≤2aμA~μ(A~μ＝ A_1~μ1…A_n~μn). If P is weakly elliptic and the real part of P is bounded above, we show that P(A) generates a C_0-semigroup. 设iAj（1≤j≤）是有界C_0群的可交换生成元，P（A）＝∑_｜μ｜≤2a_μA~μ（A~μ＝A_1~μ…A_n~μn）如果P是弱椭圆的且其实部是上有界的，则我们证明P（A）生成一个C_0半群． 短句来源 We remark that the nonlinearity here do not satisfy the classical AR conditon or superlinear assumptions, instead we assume f(s) is bounded. 在这里我们所讨论的非线性项f(s)不再满足经典的AR条件,也不具有一般的超线性性质,我们讨论f(s)是有界情形的问题。 短句来源 At first, this paper gives iterative limit of Sikkema Bernstein polynomial's derivative as well as error estimation. Then it constructs an integer coefficient Sikkema Bernstein polynomial, and gives convergence order estimation form when the approximation derived function of this polynomial's derivative is bounded variation. 首先给出了Sikkema Bernstein多项式导数的迭代极限及误差估计,然后构造一个整系数Sikkema Bernstein型多项式,并给出了该多项式的导数逼近导函数是有界变差时的收敛阶估计式。 短句来源 更多

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 is bounded
 In a much cited article, Yau [5] proved that when the Ricci curvature is bounded uniformly below, then the only bounded solution to the heat equation ?tμ=Δμ on [0, ∞) × M which vanishes at t=0 is the one which vanishes evarywhere. We prove that m(P) is bounded on LP if \frac{{n(1 - \rho )}}{\alpha }|\frac{1}{p} - \frac{1}{2}| When d-1>amp;lt;n, it is proved that if T∈,N1=0, then the corresponding maximal Calderón-Zygmund singular integral is bounded from RBMO to itself only except that it is infinite μ-a.e. Specifically, the assumptions on initial data are that the modulo constant is stated at x=+∞ and x=-∞ which may be different, the density and velocity are in L2, and the density is bounded above and below away from zero. The gas motion is bounded, on the one hand, by a piston moving in accordance with an arbitrary law, and, on the other hand, by either a compression shock or a rarefaction wave propagating through the gas with given arbitrary parameters. 更多
 In connection with the weather forecasting,we consider the initial value problem forthe equation of vorticitywhere(?)with the initial conditionThe required solution z(θ,λ,t) is bounded in the region D:0 本文研究了涡度方程(?)的始值问题,其中(?)方法是先用特征线法问题将化为积分方程,然后再对积分方程施行逐次迫近,从而证明了问题的适定性,并提供了求解的步骤.这方法可推广到更一般的方程. The Ultrastructure in conchospores of Porphyra haitanensis has been observed underelectronic microscope. Each conchospore is bounded by a thin layer of protoplasmic mem-brane. Within the cytoplasm there is a single stellate chloroplast. There are fusions betweenthe chloroplast envelope and plastid stroma. Thylakoids are separated from one anotherby intervening layers of stroma. Granunles of protein-pigment complexes (phycobilisom-es) are orderly arranged on the surface of the thylakoids. Pyrenoid is an... The Ultrastructure in conchospores of Porphyra haitanensis has been observed underelectronic microscope. Each conchospore is bounded by a thin layer of protoplasmic mem-brane. Within the cytoplasm there is a single stellate chloroplast. There are fusions betweenthe chloroplast envelope and plastid stroma. Thylakoids are separated from one anotherby intervening layers of stroma. Granunles of protein-pigment complexes (phycobilisom-es) are orderly arranged on the surface of the thylakoids. Pyrenoid is an electron dense body in the chloroplast stroma, sometimes, but notalways, it is traversed by derivatives of the thylakoid system. Grains of polysaccharide reserved material,--floridean starch, scatter freely in thecytoplasm. Plastoglobuli can only be found in the stroma of plastids. Only a few lipid bodies are present in the cytoplasm. The nucleus is egg-shaped and contains a single spherical nucleolus. There arenuclear pores distributed on the nuclear membrane. Other materials, such as vacuolesribosomes and mitochondria are also observed in the cytoplasm. 本文介绍了用电子显微镜观察坛紫菜壳孢子结构的结果。在电镜观察中,可见壳孢子外围具有一层很薄的质膜。细胞质内有一个轴生星状色素体,色素体中央有一个不被界膜的造粉核。细胞质内有少量脂质体。质体内布有许多质体小球。色素体的质体基质是单独的,彼此被居间层分开,色素体界膜和质体基质之间可见有相连接之处。类囊体表面布有藻胆体颗粒。细胞质内还可以见到线粒体、液泡、游离的红藻淀粉颗粒及核糖核蛋白体。细胞核有双层核膜,核膜外围也附有核糖核蛋白体,核膜上能见到核孔。细胞内的核仁,是一个致密而又结实的球体,细胞核与核仁之间无界膜分隔。 This paper is a continuation of the papers [9],[10]. In this paper we investigated(AC)operators, decomposable operators, spectral operators and their relationships.We proved that: (1) If T∈B(X) is (AC) operator, for every, then T is a decomposable operator. (2) T∈B(X) is spectral operator if and only if T is (AC) operator and T satisfies the following conditions: (i) For every Borel subsets σ,δ∈B has where denoted direct sum; (ii) For every x∈X, the set of numbers is bounded, where (3) If is (H) space,... This paper is a continuation of the papers [9],[10]. In this paper we investigated(AC)operators, decomposable operators, spectral operators and their relationships.We proved that: (1) If T∈B(X) is (AC) operator, for every, then T is a decomposable operator. (2) T∈B(X) is spectral operator if and only if T is (AC) operator and T satisfies the following conditions: (i) For every Borel subsets σ,δ∈B has where denoted direct sum; (ii) For every x∈X, the set of numbers is bounded, where (3) If is (H) space, T∈B() is a decomposable operator, then the following conditions are equivelent: (i) where P_F is an orthogonal projection on (F), the denotes orthogonal sum. This is a new form of B.L.Wadhwa[8]theorem. 本文是文献[9],[10]的继续。在本文中,我们研究了(AC)算子,可分解算子,谱算子以及它们之间的关系。证明了:(1)若T∈B(X)是(AC)算子,对于每个E,F∈F,有则T是可分解算子。(2)T∈B(X)是谱算子当且仅当T是(AC)算子且满足下述条件:(ⅰ)对每个Borel子集δ,δ∈B,有X_T(δ)=X_T((δ∩δ)⊕此处⊕表示直接和;(ⅱ)对每个x∈X,数集是有界的,此处(3)若是(H)空间,是可分解算子,则下述条件是等价的:(ⅰ)(E)(ⅱ)①从推出(此处P_F是从到_T(F)上直交射影,⊕表示直交和)。它是B.L.Wadhwa定理的新形式。 << 更多相关文摘
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