共查询到20条相似文献,搜索用时 171 毫秒
1.
2.
3.
4.
研究与强奇异Calderón-Zygmund 算子和Lipschitz函数b∈Λ8729;β0(Rn)相关的Toeplitz型算子Tb(f)从 Lp(Rn)到Lq(Rn) 的有界性和 Lp(Rn)到F8729;β0,∞ p的有界性,1/q=1/p-β0/n. 得到了广义Toeplitz型算子Θbα0 是 Lp(Rn)到Lq(Rn)有界的,1/q=1/p-(α0+β0)/n.上述结果包含了相应的交换子的有界性.同时还得到了与强奇异Calderón-Zygmund 算子和BMO函数b相关的 Toeplitz型算子 Tb(f)的Lp(Rn)有界性, 1ápá∞ . 相似文献
5.
基于任意给定的伸缩因子为a的正交多尺度函数, 给出一种提升其逼近阶的算法. 设Φ(x)=[φ1(x),x)=[φ2(x),…,φr(x)]T是伸缩因子为a,逼近阶为m的正交多尺度函数,则可以构造出一个重数为r+s,逼近阶为m+L(LÎZ+)的新正交多尺度函数Φnew(x)=ΦT(x),φr+1(x), φr+2(x),…, φr+s(x)T. 换言之, 通过增加多尺度函数的重数提升了它的逼近阶. 另外, 讨论了一个特殊情形:如果所给的正交多尺度函数Φ(x)=[φ1(x),φ2(x),…,φr(x)] T是对称的,则新构造的多尺度函数 Φnew(x)不仅能提升其逼近阶, 而且还保持对称性. 给出了若干构造算例. 相似文献
6.
刻画单位圆盘D上的非负测度μ, 它使得 从 Bergman 空间Aαp到 空间 Lq(8706;D)$的区域积分算子Aμ 有界. 相似文献
7.
设p≥7为任意奇素数, A为模p的Steenrod代数. 1962年, A. Liulevicius在他的文章中指出元素hi, bk∈Ext*A(Zp, Zp)分别具有双次数(1, 2pi(p8722;1))和(2, 2pk+1(p8722;1)). 我们证明: 当p≥7, n≥4, 3≤s<p8722;1时, 积h0hn-1rs ∈ ExtAs+3,p+sp2q+(s-1)pq+(s-1)q+s-3(Zp,Zp)收敛到Z∞, 其中q=2(p8722;1). 相似文献
8.
该文依据弱Hopf代数的定义给出弱Hopf超代数的定义. 进而利用弱反极取代Hopf代数中反极的方法, 构造一类不是Hopf超代数的弱Hopf超代数wsldq(m|n), 并给出了wsldq(m|n)的PBW基. 相似文献
9.
这是利用 A∞∞ -型 Ringel-Hall 代数研究sl ∞∞ -型量子群的两篇文章中的第一篇. 为此首先需要研究建立在任意域k 上的无限维路代数 kA∞∞ 的有限维表示. 在文章的第一部分, 我们给出了所有的不可分解 kA∞∞ - 表示, 并且清楚地刻画了它们之间的扩张关系; 在第二部分, 对于给定的有限域k, 我们研究了 Ringel-Hall 代数 H(kA∞∞). 主要观察是把H(kA∞∞) 看作 Ringel-Hall 代数 H(kA∞) 的正向极限, 把 H(kA∞) 看作Ringel-Hall 代数 H(kAn) 的正向极限. 特别地, 我们得到了H(kA∞∞) 的一个 PBW-基, 并且 证明了H(kA∞∞) 恰好和它的合成子代数重合. 相似文献
10.
就一类单群2F4(q) 和 2F4(2)''证明了Abe-Iiyori猜想. 相似文献
11.
We study the problem of strong uniqueness in Lp for the Dirichlet operator perturbed by a singular complex-valued potential. First we construct the generator -Hp of a C0-semigroup in Lp, with Hp extending the restriction of the perturbed Dirichlet operator to the set of smooth functions. The corresponding sesquilinear form in L2 is not assumed to be sectorial. Then we reveal sufficient conditions on the logarithmic derivative # of the measure rdx \rho dx and the potential q which ensure that -Hp is the only extension of D+b·?-q \upharpoonrightC0¥ \Delta +\beta \cdot \nabla -q \upharpoonright_{C_0^{\infty}} which generates a C0-semigroup on Lp. The method of a priori estimates of solutions to corresponding differential equations is employed. 相似文献
12.
The purpose of this note is to show how a result on tent spacesproved by Coifman, Meyer and Stein, namely the Lp-norm relationshipbetween the functionals Aq and Cq appearing in the definitionof such spaces, can be derived easily from the Fefferman-SteinLp-inequality for the sharp maximal function. 相似文献
13.
This work, investigates the asymptotics for Eulers q-exponentialEq(z), Ramanujans function Aq(z), Jacksons q-Besselfunction Jv(2) (z; q), the Stieltjes–Wigert orthogonalpolynomials Sn(x; q) and q-Laguerre polynomials Ln() (x; q)as q approaches 1. 相似文献
14.
Thompson's famous theorems on singular valuesdiagonalelements of the orbit of an nxn matrix A under the action (1)U(n) U(n) where A is complex, (2) SO(n) SO(n), where A isreal, (3) O(n) O(n) where A is real are fully examined. Coupledwith Kostant's result, the real semi-simple Lie algebra son,n yields (2) and hence (3) and the sufficient part (the hardpart) of (1). In other words, the curious subtracted term(s)are well explained. Although the diagonal elements correspondingto (1) do not form a convex set in Cn, the projection of thediagonal elements into Rn (or iRn) is convex and the characterizationof the projection is related to weak majorization. An elementaryproof is given for this hidden convexity result. Equivalentstatements in terms of the Hadamard product are also given.The real simple Lie algebra sun, n shows that such a convexityresult fits into the framework of Kostant's result. Convexityproperties and torus relations are studied. Thompson's resultson the convex hull of matrices (complex or real) with prescribedsingular values, as well as Hermitian matrices (real symmetricmatrices) with prescribed eigenvalues, are generalized in thecontext of Lie theory. Also considered are the real simple Liealgebras sop, q and sop, q, p < q, which yield the rectangularcases. It is proved that the real part and the imaginary partof the diagonal elements of complex symmetric matrices withprescribed singular values are identical to a convex set inRn and the characterization is related to weak majorization.The convex hull of complex symmetric matrices and the convexhull of complex skew symmetric matrices with prescribed singularvalues are given. Some questions are asked. 相似文献
15.
A Multiplicative Property of Quantum Flag Minors II 总被引:2,自引:0,他引:2
Let U+ be the plus part of the quantized enveloping algebraof a simple Lie algebra of type An and let B* be the dual canonicalbasis of U+. Let b, b' be in B*, and suppose that one of thetwo elements is a q-commuting product of quantum flag minors.It is shown that b and b' are multiplicative if and only ifthey q-commute. 相似文献
16.
Let U = ℂ2, Γ = ℤ2, and let ℂ[x
1±1, x
2±1] be the ring of Laurent polynomials. The Witt algebra L is the Lie algebra of derivations over ℂ[x
1±1, x
2±1], which is spanned by elements of the form D(u, r) = x
r
(u
1
d
1 + u
2
d
2), u = (u
1, u
2) ∈ U, r ∈ Γ, where d
1 and d
2 are the degree derivations of ℂ[x
1±1, x
2±1]. The image of gl
2-module V under Larsson functor F
α
, denoted by W = F
α
(V), gives a class of L-modules, often called the Larsson-modules of L. In this paper, we study the derivations from the Witt algebra L to its Larsson-modules W, and we determine the first cohomology group H
1(L,W). 相似文献
17.
For the general one-dimensional Schrödinger operator d2/dx2+q(x) with real q L1(R), this paper presents a new series representationof the Jost solution which, in turn, implies a new asymptoticrepresentation of the Weyl m-function for locally summable q.This representation is then applied to smooth potentials q toobtain Weyl m-function power asymptotics. The condition q(N) L1(x0, x0 + ), for N N0, allows one to derive the (N + 1)term for almost all x [x0, x0 + ), thereby refining a relevantresult by Danielyan, Levitan and Simon. 2000 Mathematics SubjectClassification 34E05, 34L40 (primary), 34B20, 34L25 (secondary). 相似文献
18.
A Class of Infinite Dimensional Simple Lie Algebras 总被引:1,自引:0,他引:1
Let A be an abelian group, F be a field of characteristic 0,and , ß be linearly independent additive maps fromA to F, and let ker()\{0}. Then there is a Lie algebra L = L(A,, ß, ) = xA Fex under the product [ex, ey]]=(xy)ex+y+(ß) (x, y) ex+y. If, further, ß() = 1, and ß(A) = Z, thereis a subalgebra L+:=L(A+, , ß, ) = xA+ Fex, whereA+ = {xA|ß(x)0}. The necessary and sufficient conditionsare given for L' = [L, L] and L+ to be simple, and all semi-simpleelements in L' and L+ are determined. It is shown that L' andL+ cannot be isomorphic to any other known Lie algebras andL' is not isomorphic to any L+, and all isomorphisms betweentwo L' and all isomorphisms between two L+ are explicitly described. 相似文献
19.
20.
In this paper, we give some basic properties of the generalized derivation algebra GDer(L) of a Lie color algebra L. In particular, we prove that GDer(L) = QDer(L) + QC(L), the sum of the quasiderivation algebra and the quasicentroid. We also prove that QDer(L) can be embedded as derivations in a larger Lie color algebra. 相似文献