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1.
§1 Introduction In this paper we consider the boundedness of the followingoperators T_α(A_1, …, A_m, f) (x)=∫_(IR~n) multiply from j=1 to m((R_(K_j+1)(A_j, x, y))/(|x-y|~K_j))f(y)/(|x-y|~(n-α))dy (1) 相似文献
2.
《分析论及其应用》1998,(4)
This paper serves two purposes. One is to modify Strichartz's results with respect to theasymptotic averages of the Fourier transform of μ on , self-similar measure defined byHutchinson. Another purpose is to consider a singular integral operator on μ and show that this op-erator is of type (p,p)(1
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3.
BOUNDEDNESS OF OSCILLATORY SINGULAR INTEGRALS ON HK_P SPACES 总被引:1,自引:0,他引:1
《分析论及其应用》1997,(2)
In this paper, we consider the HK boundedness for certain oscillatory singular integral operators. 相似文献
4.
余德浩 《高等学校计算数学学报(英文版)》1992,(1)
In this paper some numerical methods for computing hypersingular integrals on interval are given. Using geometric meshes, these methods lead 10 an exponential convergence in the range of engineering compulation. A numerical example shows their effeclivity and accuracy. 相似文献
5.
ON QUADRATURE FORMULAE FOR SINGULAR INTEGRALS OF ARBITRARY ORDER 总被引:1,自引:0,他引:1
杜金元 《数学物理学报(B辑英文版)》2004,24(1):9-27
Some quadrature formulae for the numerical evaluation of singular integrals of arbitrary order are established and both the estimate of remainder and the convergence of each quadrature formula derived here are also given. 相似文献
6.
A NOTE ON MARCINKIEWICZ INTEGRALS WITH H^1 KERNELS 总被引:4,自引:0,他引:4
This paper shows that for Ω∈ H1(Sn-1), Marcinkiewicz integral operator μΩ is Lp(Rn) bounded for 1 < p <∞, which improves some known results. 相似文献
7.
We consider the computation of the. Cauchy principal value mtegral
by quadrature formulaeof compound type, which are obtained by replacing f by a piecewise defined function F,[_f]. The behaviour of the constants m the estimates where quadrature error) is determined for fixed i and which means that not only the. order, but also the coefficient of the main term of is determined. The behaviour of these error constants is compared -with the corresponding ones obtained for the. method of subtraction of the singularity. As it turns out, these error constants have, in general, the same asymptotic behaviour. 相似文献
8.
G.Sampson XuJingshi 《分析论及其应用》2003,19(1):37-46
In this paper, we want to improve our previous results. We prove that some oscillatory strong singular integral operators of non-convolution type with non-polynomial phases are bounded from Herz-type Hardy spaces to Hertz spaces and from Hardy spaces associated with the Beurling algebras to the Beurling algebrasin higher dimensions. 相似文献
9.
本文讨论了用周期小波对Ho..lder空间进行的特征刻划,给出了Ho..lder空间中的若干小波逼近性质,证明了用周期小波逼近Cauchy型奇异积分时的一些收敛定理. 相似文献
10.
ON SINGULAR INTEGRALS WITH SINGULARITIES OF HIGH FRACTIONAL ORDER AND THEIR APPLICATIONS 总被引:1,自引:0,他引:1
路见可 《数学物理学报(A辑)》1982,(2)
Singular integrals of high order in complex integration were lifts introduced in and investigated in. Using this concept, the classical residue theorem was extended to such cases and was applied to solving certain class of singular integral equations. 相似文献
11.
Chen Lüping 《数学物理学报(B辑英文版)》2006,26(4):679-690
Using the method of localization, the authors obtain the permutation formula of singular integrals with Bochner-Martinelli kernel for a relative compact domain with C(1) smooth boundary on a Stein manifold. As an application the authors discuss the regularization problem for linear singular integral equations with Bochner-Martinelli kernel and variable coefficients; using permutation formula, the singular integral equation can be reduced to a fredholm equation. 相似文献
12.
ON SINGULAR INTEGRALS WITH SINGULARITIES OF HIGH FRACTIONAL ORDER AND THEIR APPLICATIONS 总被引:1,自引:0,他引:1
路见可 《数学物理学报(B辑英文版)》1982,(2)
§1 Introduction Singular integrals of high order in complex integration were firts introduced in [1] and investigated in [2,3,4]. Using this concept, the classical residue theorem was extended to such cases and was applied to solving certain class of singular integral equations. [3,4] 相似文献
13.
Huoxiong Wu Shanzhi Yang 《分析论及其应用》2007,23(4):389-400
In this paper, the authors establish Lp boundedness for several classes of multiple singular integrals along surfaces of revolution with kernels satisfying rather weak size condition. The results of the corresponding maximal truncated singular integrals are also obtained. The main results essentially improve and extend some known results. 相似文献
14.
吴良森 《数学年刊B辑(英文版)》1988,(1)
Let A,B be unital C~*-algebras.X_A={|are all completely positive linear maps from M_n(C)to A with ‖a‖≤1}.(a=((e_(11))…(e_(1n)……(e_(n1))…(e_(nn))),where{e_(iy)}is the matrix unit of M_n(C).)Let a be the natural action of SU(n)on M_n(C).For n≥3,if Φis an a-invariant affine isomorphism between X_A and X_B,Φ(0)=0,then A and B are~*-isomorphic.In this paper a counter example is given for the case n=2. 相似文献
15.
Hadamard introduced the concept of finite parts of divergent integrals.i.e.Hadamardprincipal value,when he researched the Cauehy problems of the hyperbolic type partialdifferential equations.In this paper,the authors try to generalize this concept to the singularintegrals on a sphere of several complex variables space C~n.The Hadamard principal valueof higher order singular integralis defined and the corresponding Plemelj formula is obtained. 相似文献
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17.
HUANGZHENGAO 《高校应用数学学报(英文版)》1995,10(4):467-470
This paper concerns with the core of nonatomic gaxaes of foma f(μ), where μ is a nonatomic nonnegative measure and f is a continuous convex function on the domaln of μ. The main result of this paper is that the core of the game is not compact under the norm topology unless the game itself is a measure. This shows the largeness of the core in a sense other than that defined by Sharky for finite cases. 相似文献
18.
The authors study the singular integrals under the Hormander condition and the measure not satisfying the doubling condition. At first, if the corresponding singular integral is bounded from L2 to itself, it is proved that the maximal singular integral is bounded from L∞to RBMO except that it is infinite μ-a.e. on Rd. A sufficient condition and a necessary condition such that the maximal singular integral is bounded from L2 to itself are also obtained. There is a small gap between the two conditions. 相似文献
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20.
杜金元 《数学物理学报(B辑英文版)》1984,(2)
The Gauss-Legendre quadrature formulae had been extended to numerical evaluation for singular integrals by some authors. In 1970, S.R.Piessens obtained the formula 相似文献