共查询到20条相似文献,搜索用时 15 毫秒
1.
1IntroductionLetL:=L:l-1,11bethefunctionspacewhichconsist8offunctionsfsatisfyingwherep(t)isaweightfunction,denotethenormthenwecanknowfroml11that.hereexistsanorthogonalsetofpolynodrialsyto,yt1,...,ytnt...andEspeciallyweknowfrom[1]thatifweightfunctionp(f)maybechosenasw1(t)=(1-t')-t,wz(t)=(1-f')i,ws(t)=(1-t)t(1 t)-1,w`(t)=(1-f)-t(1 t)i,thecorrespondingrespectiveorthogonalpolynondalsareTJ')(t)=cosno,Tj')(t)=sin(n 1)o/sino,T1')(t)=sinngo/sint,T;')(f)=cosnge/cos9,wheret=coso,thenby(1.3)theyarethed… 相似文献
2.
In this paper we consider a class of weighted integral operators onL
2 (0, ) and show that they are unitarily equivalent to Hankel operators on weighted Bergman spaces of the right half plane. We discuss conditions for the Hankel integral operator to be finite rank, Hilbert-Schmidt, nuclear and compact, expressed in terms of the kernel of the integral operator. For a particular class of weights these operators are shown to be unitarily equivalent to little Hankel operators on weighted Bergman spaces of the disc, and the symbol correspondence is given. Finally the special case of the unweighted Bergman space is considered and for this case, motivated by approximation problems in systems theory, some asymptotic results on the singular values of Hankel integral operators are provided. 相似文献
3.
The paper is devoted to study of singular integral operators with
fixed singularities at endpoints of contours on weighted Lebesgue spaces with
general Muckenhoupt weights. Compactness of certain integral operators with
fixed singularities is established. The membership of singular integral operators
with fixed singularities to Banach algebras of singular integral operators
on weighted Lebesgue spaces with slowly oscillating Muckenhoupt weights is
proved on the basis of Balakrishnans formula from the theory of strongly
continuous semi-groups of closed linear operators. Symbol calculus for such
operators, Fredholm criteria and index formulas are obtained. 相似文献
4.
Post-Widder算子线性组合加Jacobi权的Lp同时逼近 总被引:1,自引:0,他引:1
赵德钧 《纯粹数学与应用数学》2000,16(4):33-40
给出了Post-Widder算子线性组合加Jacobi权的Lp同时逼近的正、逆定理和逼近阶的特征刻划. 相似文献
5.
We study the boundedness of the Cauchy singular integral operators on curves in complex plane in generalized Morrey spaces. We also consider the weighted case with radial weights. We apply these results to the study of Fredholm properties of singular integral operators in weighted generalized Morrey spaces. 相似文献
6.
Stephen T. Welstead 《Integral Equations and Operator Theory》1985,8(3):402-426
Cauchy singular integral operators are characterized as operators in a weighted L2-space. The integral operator arises from a singular integral equation with variable coefficients. An appropriate weight function associated with the singular integral operator is constructed, and the set of polynomials orthogonal with respect to this weight function is defined. The action of the operator on polynomial sets is studied, and the definition of the operator is extended to a weighted L2-space. In this space, the operator is shown to be bounded, and, in some cases, isometric. Formulas are developed for the composition of the singular integral operator and its one sided inverse. 相似文献
7.
本文考虑多线性Fourier乘子算子在加权Lebesgue空间的乘积空间上的性质,利用多线性Fourier乘子算子的核估计以及多线性奇异积分算子的加权理论,建立多线性Fourier乘子算子的(关于多重Ap/r(R^mn)权函数以及关于一般权函数的)两个加权估计. 相似文献
8.
一类Bernstein型算子加权逼近 总被引:3,自引:1,他引:2
本文首先给出了一类用递归法定义的Bernsein型算子在一致逼近意义下的特征刻划,然后指出在通常的加权范数下,它虹无界的,通过引入的一种新范数,我们给出了该算子加Jacobi权逼近的特征刻划。 相似文献
9.
10.
For the commutators of multilinear Calder ′on-Zygmund singular integral operators with B MO functions, the weak type weighted norm inequalities with respect to A~P weights are obtained. 相似文献
11.
12.
本文主要给出了一类Bernstein-Durrmeyer算子的线性组合在Lp逼近意义下加Jacobi权逼近时的特征刻划. 相似文献
13.
Let X be a space of homogeneous type in the sense of Coifman and Weiss. In this paper, via a new Cotlar type inequality linking commutators and corresponding maximal operators, a weighted Lp(X) estimate with general weights and a weak type endpoint estimate with A1(X) weights are established for maximal operators corresponding to commutators of BMO(X) functions and singular integral operators with non-smooth kernels. 相似文献
14.
本文建立齐型空间上与奇异积分算子和BMO构成的交换子相应的极大算子的一个带一般权的加权L~p估计. 相似文献
15.
HU GuoEn & LU ShanZhen 《中国科学 数学(英文版)》2011,(3)
In this paper, by sharp function estimates and certain weak type endpoint estimates, the authors establish some weighted norm inequalities with Ap weights for the multilinear singular integral operators with non-smooth kernels. 相似文献
16.
17.
Vladimir Rabinovich Natasha Samko Stefan Samko 《Integral Equations and Operator Theory》2006,56(2):257-283
We study the local Fredholm spectra and global Fredholm properties for singular integral operators on composed Carleson curves
with discontinuous coefficients acting on weighted H?lder spaces. We consider the curves, coefficients, and weights which
are slowly oscillating at the nodes of the curve. Application of pseudodifferential operators technique allows us to explain
the influence of oscillation of curves, coefficients, and weights on the appearance of massive local Fredholm spectra. We
obtain a criterion of Fredholmness and index formula for operators under consideration. 相似文献
18.
关于多线性振荡奇异积分在加权Hardy-型空间上的一致估计 总被引:1,自引:0,他引:1
本文对一类具有光滑位相函数的多线性振荡奇异积分算子建立了一致的加权(H^1(R^n),L^1(R^n))估计及一致的加权(HKp(R^n),Kp(R^n)估计。 相似文献
19.
本文利用雅可比谱配置方法研究弱奇异时滞Volterra积分方程,分别得到真解与近似解在$L^{\infty}$和$L^2_{\omega^{-\mu,0}}$ 范数意义下呈现指数收敛的结论,数值仿真结果验证理论分析的正确性. 相似文献
20.
本文主要讨论一类二元Szász-Mirakjian算子的加权逼近问题。我们首先指出了在通常的加权范数下它是无界的。然后我们给出了一类新的加权范数,在此范数下,它是有界的。最后利用一类多元K-泛函与多元分解技巧,我们给出了二元Szasz-Mirakian算子加权逼近的特征刻划。关键词 相似文献