共查询到20条相似文献,搜索用时 546 毫秒
1.
This paper takes some investigations on generalized topological spaces with some μ- separations. Some characterizations of μTi-spaces for i = 0,1,2,3,4, μTD-spaces and μR0-spaces are obtained and some relations among these spaces are established. 相似文献
2.
In [1], Roper and Suffridge introduced an extension operator. This operator is defined for normalized locally univalent function f on the unit disc U = {z∈C:|z|〈1} in C by Фn(f)(z)=(f(z1),√ f′(z1)z0), where z = (z1,z0) belongs to the unit ball Bn in Cn, z1∈U, z0 = (z2,...,zn) ∈ C^n-1. 相似文献
3.
Under the assumption that the underlying measure is a non-negative Radon measure which only satisfies some growth condition, the authors prove that for a class of commutators with Lipschitz functions which include commutators generated by Calderon-Zygmund operators and Lipschitz functions as examples, their boundedness in Lebesgue spaces or the Hardy space H1 (μ) is equivalent to some endpoint estimates satisfied by them. This result is new even when the underlying measureμis the d-dimensional Lebesgue measure. 相似文献
4.
Hua QIU Wei Yi SU 《数学学报(英文版)》2008,24(1):147-158
The distributional dimension of fractal sets in R^n has been systematically studied by Triebel by virtue of the theory of function spaces. In this paper, we first discuss some important properties about the B-type spaces and the F-type spaces on local fields, then we give the definition of the distributional dimension dimD in local fields and study the relations between distributional dimension and Hausdorff dimension. Moreover, the analysis expression of the Hausdorff dimension is given. Lastly, we define the Fourier dimension in local fields, and obtain the relations among all the three dimensions. Keywords local field, B-type space, F-type space, distributional dimension, Hausdorff dimension Fourier dimension 相似文献
5.
F. AZARPANAH R. MOHAMADIAN 《数学学报(英文版)》2007,23(6):989-996
It is well known that every prime ideal minimal over a z-ideal is also a z-ideal. The converse is also well known in C(X). Thus whenever I is an ideal in C(X), then √I is a z-ideal if and only if I is, in which case √I = I. We show the same fact for z~-ideals and then it turns out that the sum of a primary ideal and a z-ideal (z^o-ideal) in C(X) which are not in a chain is a prime z-ideal (z^o-ideal). We also show that every decomposable z-ideal (z^o-ideal) in C(X) is the intersection of a finite number of prime z-ideals (z^o-ideal). Some counter-examples in general rings and some characterizations for the largest (smallest) z-ideal and z^o-ideal contained in (containing) an ideal are given. 相似文献
6.
Hai Yun Zhou 《数学学报(英文版)》2010,26(4):743-758
In this paper, we continue to discuss the properties of iterates generated by a strict pseudo- contraction or a finite family of strict pseudo-contractions in a real q-uniformly smooth Banach space. The results presented in this paper are interesting extensions and improvements upon those known ones of Marino and Xu [Marino, G., Xu, H. K.: Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces. J. Math. Anal. Appl., 324, 336-349 (2007)]. In order to get a strong convergence theorem, we modify the normal Mann's iterative algorithm by using a suitable convex combination of a fixed vector and a sequence in C. This result extends a recent result of Kim and Xu [Kim, T. H., Xu, H. K.: Strong convergence of modified Mann iterations. Nonl. Anal., 61, 51- 60 (2005)] both from nonexpansive mappings to λ-strict pseudo-contractions and from Hilbert spaces to q-uniformly smooth Banach spaces. 相似文献
7.
Jean Pierre DUSSAULT Hai SHEN Andr BANDRAUK 《数学学报(英文版)》2007,23(2):229-236
We analyze the classical penalty algorithm for nonlinear programming in Hilbert spaces and obtain global convergence results, as well as asymptotic superlinear convergence order. These convergence results generalize similar results obtained for finite-dimensional problems. Moreover, the nature of the algorithms allows us to solve the unconstrained subproblems in finite-dimensional spaces. 相似文献
8.
This paper concerns space-like submanifolds in a pseudo-Riemannian space-time Spm p(?)Epm p 1(p≥1), and proves that connected compact maximal space-like submanifolds in a pseudo-Riemannian spacetime Spm p(?)Epm p 1(p≥1) must be totally umbilical, and also totally geodesic. Particularly, when p = 1, our result is just Montiel's in case of H = 0. 相似文献
9.
Let M be a concircularly fiat totally real minimal submanifold in CP4. The infimum Vm of the volume V (M) of M is obtained, also the necessary and sufficient conditions of "V(M)=Vm" is given. 相似文献
10.
The notion of an ideal family of weighted subspaces of a discrete metric space X with bounded geometry is introduced. It is shown that, if X has Yu's property A, the ideal structure of the Roe algebra of X with coefficients in B(H) is completely characterized by the ideal families of weighted subspaces of X, where B(H) denotes the C*-algebra of bounded linear operators on a separable Hilbert space H. 相似文献
11.
ShengBaohuai LenQiang 《数学研究》1997,30(1):19-24
In this paper, the author introduces certain modided integral rational interpolations which are generallzation of T. Herman and P.Vertesi‘s rational interpolation operators and study their degre of approximation in L^pw with w(x)=(1-x^2)^(-1/2) spaces. 相似文献
12.
Veil B. SHAKHMUROV 《数学学报(英文版)》2006,22(5):1493-1508
This study focuses on vector-valued anisotropic Sobolev-Lions spaces associated with Banach spaces E0, E. Several conditions are found that ensure the continuity and compactness of embedding operators that are optimal regular in these spaces in terms of interpolations of spaces E0 and E. In particular, the most regular class of interpolation spaces Eα between E0, E depending on α and the order of space are found and the boundedness of differential operators D^α from this space to Eα-valued Lp,γ spaces is proved. These results are applied to partial differential-operator equations with parameters to obtain conditions that guarantee the maximal Lp,γ regularity and R-positivity uniformly with respect to these parameters. 相似文献
13.
Some Hardy type inequalities on the ball and its complementary set in the Euclidean space are established by using the Picone type identity and constructing suitable auxiliary functions. 相似文献
14.
Zu Huan YU Qing Zhong LI 《数学学报(英文版)》2007,23(11):2079-2086
In this note, a construction of minimal surfaces in Euclidean 3-space is given. By using the product of Weierstrass data of two known minimal surfaces, one gets a new Weierstrass data and a corresponding minimal surface from the Weierstrass representation. 相似文献
15.
This paper deals with the boundedness and compactness of the weighted composition operators from the F(p, q, s) spaces, including Hardy space, Bergman space, Qp space, BMOA space, Besov space and α-Bloch space, to Bers-type spaces Hv^∞( or little Bers-type spaces Hv,o∞ ), where v is normal. 相似文献
16.
In this paper we mainly investigate projectively flat complete Kaehler sub-manifolds, in CPn. We give the pinching constants and the local structure. 相似文献
17.
Let B be the unit ball in C^n. By H(B) we denote the class of all holomorphic functions on B and H^∞ denotes the class of all bounded holomorphic functions on B. 相似文献
18.
Hypersurfaces with Constant Mean Curvature in Space FormsHypersurfaceswithConstantMeanCurvatureinSpaceForms¥SongHongzao;HuZej... 相似文献
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20.
Xiao Li FU Guo En HU Da Chun YANG 《数学学报(英文版)》2007,23(3):49-456
Let μ be a Radon measure on R^d which may be non-doubling. The only condition satisfied by μ is that μ(B(x,r)) ≤ Cr^n for all x∈R^d r 〉 0 and some fixed 0 〈 n ≤ d. In this paper, the authors prove that the boundedness from H^1(μ) into L^1,∞ (μ) of a singular integral operator T with Calderón-Zygmund kernel of HSrmander type implies its L^2(μ)-boundedness. 相似文献