排序方式: 共有84条查询结果,搜索用时 46 毫秒
1.
We derive the basic canonical brackets amongst the creation and annihilation operators for a two (1 + 1)- dimensional (2D) gauge field theoretic model of an interacting Hodge theory where a U(1) gauge field (Aμ) is coupled with the fermionic Dirac fields (ψ and ψ). In this derivation, we exploit the spin-statistics theorem, normal ordering and the strength of the underlying six infinitesimal continuous symmetries (and the concept of their generators) that are present in the theory. We do not use the definition of the canonical conjugate momenta (corresponding to the basic fields of the theory) anywhere in our whole discussion. Thus, we conjecture that our present approach provides an alternative to the canonical method of quantization for a class of gauge field theories that are physical examples of Hodge theory where the continuous symmetries (and corresponding generators) provide the physical realizations of the de Rham cohomological operators of differential geometry at the algebraic level. 相似文献
2.
In this paper, the boundedness in Lebesgue spaces of commutators and multilinear commutators generated by θ-type Calderón-Zygmund operators with RB MO(μ) functions on non-homogeneous metric measure spaces is obtained. 相似文献
3.
Fayou Zhao 《Mathematische Nachrichten》2012,285(10):1294-1298
Fu and Lu et al. 7 showed that the commutator $\mathcal {H}_{\beta ,b}$ generated by the fractional Hardy operator and a locally integrable function b is bounded on the homogenous Herz spaces if and only if b is a central bounded mean oscillation function. We show that their result is optimal by giving a counterexample. 相似文献
4.
刘爽 《纯粹数学与应用数学》2012,(1):58-66,91
研究截口上的奇异积分高阶交换子Hbmf(x),利用截口F关于核的ki(x,y)估计,在一定假设下得到了Hbm的Sharp极大函数估计和加权弱(1,1)型估计. 相似文献
5.
对任意给定的正整数m,Z^+×{1,...,m}的任意一个有限子集S,定义一般化的多线性分数次积分算子的交换子Iα,→b,S(f)(x)=∫(Rn)^m ∏(i,j)∈S(bi(x)-bi(yj))/(|x-y1|+…+|x-ym|)^mn-α∏(j=1→m)fj(yj)d→y,其中d→y=dy1…dym.此框架下的交换子包含了以往研究的各类分数次积分算子的交换子,并蕴含了多线性背景下新的交换子形式.在上述非常一般框架下,本文给出带多重A→p,q权的多线性分数次积分算子的交换子Iα,→b,S(→f)的加权强型(L^p1(ω1)×···×L^pm(ωm),L^q(ν→ωq))估计和加权弱型端点估计.本文还得到更一般核条件下的上述结果. 相似文献
6.
本文分别讨 论了 Hardy Littlew ood 极大 算子和奇 异积分算 子的交换 子在加权 Herz 空间 ,加权 Lp空间中的 有界性 相似文献
7.
研究了参数型Marcinkiewicz积分高阶交换子并证明了其从H1b(Rn)到L1(Rn)有界,其中b∈BMO. 相似文献
8.
Willian Franca 《代数通讯》2013,41(6):2621-2634
Let R be a simple unital ring. Under a mild technical restriction on R, we will characterize biadditive mappings G: R2 → R satisfying G(u, u)u = uG(u, u), and G(1, r) = G(r, 1) = r for all unit u ∈ R and r ∈ R, respectively. As an application, we describe bijective linear maps θ: R → R satisfying θ(xyx?1y?1) = θ(x)θ(y)θ(x)?1θ(y)?1 for all invertible x, y ∈ R. This solves an open problem of Herstein on multiplicative commutators. More precisely, we will show that θ is an isomorphism. Furthermore, we shall see the existence of a unital simple ring R′ without nontrivial idempotents, that admits a bijective linear map f: R′ → R′, preserving multiplicative commutators, that is not an isomorphism. 相似文献
9.
10.
建立了由Calderon-Zygmund算子和λ-中心BMO函数族生成的多线性交换子Tb在中心Money空间Bq,λ(R^n)上的有界估计,其中b=(b1,…,bm),bi是λ-中心BMO函数. 相似文献