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 The Minimal Operator and Weighted Inequalities for Martingales 鞅的极小算子与加权不等式 短句来源 The Renormalization Operator and Kneading Sequence 重正化算子与搓揉序列 短句来源 Solvability of Nonlinear Operator Equations (Systems) and Its Applications 非线性算子方程（组）的可解性及其应用 短句来源 Asymptotic Trace of Schr(?)dinger Operator on Fractal Drums 分形鼓上Schr(?)inger算子的迹渐近 短句来源 Dynamics Theory and Application Research of Chained Multibody System Based on the Representation of Adjoint Operator 基于伴随变换算子表示的链式多体系统动力学理论与应用研究 短句来源 更多
 operators
 Weighted Simultaneous Approximation by the Linear Combinations of Gamma Operators Gamma算子线性组合的加权同时逼近 短句来源 Bloch Constants and Composition Operators on Bloch Spaces Bloch常数和Bloch空间上的复合算子 短句来源 Analytic Function Spaces on Multi-connected Domain and Those Operators 多连通域上的解析函数空间及其算子 短句来源 The Boundedness of Operators on Herz-type Spaces on Locally Compact Vilenkin Groups 算子在局部紧的Vilenkin群上的Herz型空间上的有界性 短句来源 The Study of Fuzzy Aggregation Operators 关于模糊算子的研究 短句来源 更多
 the operator
 On the Operator equation X-A~*X~(-t)A=I 关于算子方程X-A~*X~(-t)A=I 短句来源 ON THE OPERATOR EQUATION T~*[T*,T]T=[T~*,T] 关于算子方程T~*[T~*,T]T=[T~*,T] 短句来源 On the Positive Solutions of the Operator Equations X+A~*X~(-t)A=I 算子方程X+A~*X~(-t)A=I的正算子解 短句来源 THE OPERATOR △_κ~2+n~2T~2 AND PLURIHARMONIC FUNCTIONS ON HEISENBERG GROUP 算子△_κ~2+n~2T~2与Heisenberg群上的多调和函数 短句来源 bounded linear operator in complete random normed spaces and μ({ω∈Ω:X_T(ω)≥1})=0,the operator(I-T) has an a. 有界线性算子时,如果μ({ω∈Ω:XT(ω)≥1})=0,则算子I-T有a. 短句来源 更多
 operater
 On L_2 Convergence of Grünwald Interpolatory Operater Grünwald插值算子的L_2收敛性 短句来源 Boundedness of Hardy-Littlewood maximal operater on weak Lorentz spaces Hardy-Littlewood极大算子在弱型Lorentz空间上的有界性 短句来源 The relations between B_p,B_p(u),B_(p,∞),B_(p,∞)(u),B~∞_(p,∞),B~(∞)_(p,∞)(u) have been obtained and two sufficient conditions for the boundedness of Hardy-Littlewood maximal operater on weak Lorentz spaces have been found. 讨论了权Bp,Bp(u),Bp,∞,Bp,∞(u),B∞p,∞,B∞p,∞(u)之间的关系,给出了H-L极大算子在弱型lorentz空间上的有界性的两个充分条件. 短句来源 The direct integral formula of highorder linear differential equation with constant coefficients is given. It is different from traditional methods and deferential operater method. 对高阶常系数线性微分方程求解,本文采用了不同于一般教科书上的传统方法,如特征方程法,待定系数法,也不同于算子法,而是给出高阶常系数线性微分方程的直接积分公式。 短句来源 Geometry and Analysis for a Class of Nonlinear Elliptic Operater on Convex Domains 凸区域上一类非线性椭圆算子的几何与分析 短句来源 更多

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 operator
 The space itself can be characterized essentially as the domain where the generalized Bergman operator is nondegenerate. We study eigenfunctions of a Dunkl-Cherednik-type operator in the algebra $\mathcal H$, and the corresponding Fourier transforms. The frame operator of this sequence is expressed as a matrix-valued function multiplying a vector-valued function. Let $Mf(x) = \sup(1/2r)\int^{x+r}_{x-r} |f(t)|\;dt$ be the centered maximal operator on the line. The method we use is a combination of the smoothing effect of the operator ?t + ?x(2j+1) and a gauge transformation performed on a linear system, which allows us to consider initial data with arbitrary size. 更多
 operators
 In our paper [KR] we began a systematic study of representations of the universal central extension[InlineEquation not available: see fulltext.] of the Lie algebra of differential operators on the circle. We express them in terms of generatorsEij ofU(gl(n)) and as differential operators on the space of matrices These expressions are a direct generalization of the classical Capelli identities. This paper is devoted to a systematic study of quantum completely integrable systems (i.e., complete systems of commuting differential operators) from the point of view of algebraic geometry. In the interesting case when the group is of Coxeter typeDn (n≥4) we use higher polarization operators introduced by Wallach. There are natural concepts of the action of ann-valued group on a space and of a representation in an algebra of operators. 更多
 the operator
 The method we use is a combination of the smoothing effect of the operator ?t + ?x(2j+1) and a gauge transformation performed on a linear system, which allows us to consider initial data with arbitrary size. These conditions usually amount to checking the boundedness of the operator on functions that are powers of the weights and are hard to check. The same is true for frequency modulation provided the symbol of the operator is piecewise continuous. It turns out that if the operator is polynomially bounded, then optimal convergence is polynomial, while if the operator is exponentially bounded, then optimal convergence proceeds logarithmically. Let $0 \neq f\in \mathcal{S}(\mathbb{R}^+).$ We show that Lf(L)δ, the distribution kernel of the operator Lf(L), is an admissible function on G. 更多
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