共查询到20条相似文献,搜索用时 15 毫秒
1.
Jia-cheng Lan 《应用数学学报(英文版)》2005,21(4):615-622
In this paper, the author discusses the multilinear singular integrals with certain θ-type Calderdn- Zygmund operators and obtain the boundedness from weak H^1 (R^n) to weak L^1 (R^n). 相似文献
2.
Christian Sadel 《Annales Henri Poincare》2013,14(4):737-773
A tree-strip of finite cone type is the product of a tree of finite cone type with a finite set. We consider random Schrödinger operators on these tree-strips, similar to the Anderson model. We prove that for small disorder, the spectrum is almost surely, purely, absolutely continuous in a certain set. 相似文献
3.
《偏微分方程通讯》2013,38(1-2):333-347
Abstract We prove that at large disorder, Anderson localization in Z d is stable under localized time-periodic perturbations by proving that the associated quasi-energy operator has pure point spectrum. The formulation of this problem is motivated by questions of Anderson localization for non-linear Schrödinger equations. 相似文献
4.
In this paper we investigate the efficiency of the Orthogonal Matching Pursuit algorithm (OMP) for random dictionaries. We
concentrate on dictionaries satisfying the Restricted Isometry Property. We also introduce a stronger Homogenous Restricted
Isometry Property which we show is satisfied with overwhelming probability for random dictionaries used in compressed sensing.
For these dictionaries we obtain upper estimates for the error of approximation by OMP in terms of the error of the best n-term
approximation (Lebesgue-type inequalities). We also present and discuss some open problems about OMP. This is a development
of recent results obtained by D.L. Donoho, M. Elad and V.N. Temlyakov. 相似文献
5.
6.
Analysis Mathematica - We study continuity properties for commutators of Calderón-Zygmund and fractional integral operators between generalized Zygmund spaces of L log L type, in the variable... 相似文献
7.
Fatma Ghribi 《Annales Henri Poincare》2008,9(3):595-624
This paper is devoted to the study of Lifshits tails for random Schr?dinger operator acting on of the form , where H
0 is a -periodic Schr?dinger operator, λ is a positive coupling constant, are i.i.d and bounded random variables and V is the single site potential with changing sign. We prove that, in the weak disorder regime, at an open band edge, a true
Lifshits tail for the random Schr?dinger operator occurs under a certain set of conditions on H
0 and on V.
Submitted: April 17, 2007. Accepted: December 13, 2007. 相似文献
8.
In this paper we consider the Schrödinger type operators \(H_2=(-\Delta)^2 +V^2\), where the nonnegative potential V belongs to the reverse Hölder class \(B_{q_{_1}}\) for \(q_{_1}\geq \frac{n}{2}, n\geq 5\). The L p and weak type (1, 1) estimates of higher order Riesz transform \(\nabla^2H^{-\frac{1}{2}}_2 \) related to Schrödinger type operators H 2 are obtained. In particular, \(\nabla^2H^{-\frac{1}{2}}_2 \) is a Calderón-Zygmund operator if V?∈?B 2n or \(V\in B_\frac{n}{2}\) and there exists a constant C such that V(x)?≤?Cm(x,V)2. 相似文献
9.
In this paper, we prove Lp-boundedness of hyperbolic singular integral operators for kernels satisfying weakened regularity conditions, where 1
相似文献
10.
Weak Type Estimates for a Kind of Singular Integral Operators Along Radial SurfacesChenLiyuan(陈理元)andWangSilei(王斯雷)(Departmen... 相似文献
11.
Let m be an integer and T be an m-linear Calderón-Zygmund operator, u, v1,..., vm be weights. In this paper, the authors give some sufficient conditions on the weights (u, vk) with 1 ≤ k ≤ m, such that T is bounded from Lp1(Rn, v1) × ··· × Lpm(Rn, vm) to Lp,∞(Rn, u). 相似文献
12.
Let M be a general complete Riemannian manifold and consider a Schr?dinger operator −Δ+V on L
2(M). We prove Cwikel–Lieb–Rozenblum as well as Lieb–Thirring type estimates for −Δ+V. These estimates are given in terms of the potential and the heat kernel of the Laplacian on the manifold. Some of our results
hold also for Schr?dinger operators with complex-valued potentials. 相似文献
13.
Mehmet Ali Özarslan 《Results in Mathematics》2016,69(3-4):327-343
In this paper, we introduce a certain class of linear positive operators via a generating function, which includes the non-tensor MKZ operators and their non-trivial extension. In investigating the approximation properties, we prove a new Korovkin type approximation theorem by using appropriate test functions. We compute the rate of convergence of these operators by means of the modulus of continuity and the elements of modified Lipschitz class functions. Furthermore, we give functional partial differential equations for this class. Using the corresponding equations, we calculate the first few moments of the non-tensor MKZ operators and investigate their approximation properties. Finally, we state the multivariate versions of the results and obtain the convergence properties of the multivariate Meyer–König and Zeller operators. 相似文献
14.
DunYanYAN GuoEnHU 《数学学报(英文版)》2005,21(1):209-214
In this paper, the authors discuss a class of multilinear singular integrals and obtain that the operators are bounded from H^1(R^n) to weak L^1(R^n). Using this result, we can directly prove a main theorem in [5]. 相似文献
15.
We consider the Riemannian universal covering of a compact manifold M = X/ and assume that is amenable. We show the existence of a (nonrandom) integrated density of states for an ergodic random family of Schrödinger operators on X. 相似文献
16.
We consider continuum random Schrödinger operators of the type H = – + V0 + V with a deterministic background potential V0. We establish criteria for the absence of continuous and absolutely continuous spectrum, respectively, outside the spectrum of – + V0. The models we treat include random surface potentials as well as sparse or slowly decaying random potentials. In particular, we establish absence of absolutely continuous surface spectrum for random potentials supported near a one-dimensional surface (random tube) in arbitrary dimension.submitted 07/04/04, accepted 19/08/04 相似文献
17.
61..IntroductionLetA,BaretwomatriceslthesignA>odenotesthatAisanon-negativedefinitesquarematrixFA>BdenotesA-B>OIA>odenotesthatAisaPoSitivedefinitesquarematrix;A>BdenotesA-B>OFp(A)denotesthelinearspaceextendedbycolumnvectorsofAFA denoteSMcore-PenrosegeneralinversionofA,i.e.A satisfies:AA A=A,A AA =A ,A AandAA botharesymmetriclA-denotesthesignu-"generalinversionofA,i.e.A-satisfies:AA-A=A3Adenotestherow-drawingstraightvectorofA;A@BdenotestheKrcrneckerpreductofAandB3tr(A)denot… 相似文献
18.
We study Schrödinger operators with Robin boundary conditions on exterior domains in ? d . We prove sharp point-wise estimates for the associated semigroups which show, in particular, how the boundary conditions affect the time decay of the heat kernel in dimensions one and two. Applications to spectral estimates are discussed as well. 相似文献
19.
《分析论及其应用》2016,(1)
Let Hnbe the Heisenberg group and Q=2n +2 be its homogeneous dimension. In this paper, we consider the Schrdinger operator-?Hn+V, where ?Hn is the sub-Laplacian and V is the nonnegative potential belonging to the reverse Ho ¨lder class Bq1 for q1≥ Q/2. We show that the operators T1= V(-?Hn +V)-1 and T2=V1/2(-?Hn +V)-1/2 are both bounded from H1L(Hn) into L1(Hn). Our results are also valid on the stratified Lie group. 相似文献