共查询到19条相似文献,搜索用时 78 毫秒
1.
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
2.
Da Chun YANG 《数学学报(英文版)》2005,21(5):1209-1218
Let F be a compact d-set in R^n with 0 〈 d ≤ n, which includes various kinds of fractals. The author establishes an embedding theorem for the Besov spaces Bpq^s(F) of Triebel and the Sobolev spaces W^1,P(F,d,μ) of Hajtasz when s 〉 1, 1 〈 p 〈∞ and 0 〈 q ≤ ∞. The author also gives some applications of the estimates of the entropy numbers in the estimates of the eigenvalues of some fractal pseudodifferential operators in the spaces Bpq^0(F) and Fpq^0(F). 相似文献
3.
Yin Sheng JIANG Ming Ju LIU Lin TANG 《数学学报(英文版)》2005,21(3):577-584
Some estimates for the convolution operators with kernels of type (l, r) on Lebesgue spaces with power weights and Herz-type spaces in the setting of homogeneous groups are established. 相似文献
4.
Frame multiresolution analysis and infinite trees in Banach spaces on locally compact abelian groups
S.S.Panday 《分析论及其应用》2004,20(3):231-241
We extend the concept of frame multiresolution analysis to a locally compact abelian group and use it to define certain weighted Banach spaces and the spaces of their antifunctionals. We define analysis and synthesis operators on these spaces and establish the continuity of their composition. Also, we prove a general result to characterize infinite trees in the above Banach spaces of antifunctionals. This paper paves the way for the study of corresponding problems associated with some other types of Banach spaceson locally compact abelian groups including modulation spaces. 相似文献
5.
Hasi WULAN 《数学学报(英文版)》2005,21(6):1415-1424
Suppose that φ is an analytic self-map of the unit disk Δ. We consider compactness of the composition operator Cφ from the Bloch space B into the spaces QK defined by a nonnegative, nondecreasing function K(r) for 0 ≤ r 〈 Cφ. Our compactness condition depends only on Φ which can be considered as a slight improvement of the known results. The compactness of Cφ from the Dirichlet space D into the spaces QK is also investigated, 相似文献
6.
朱月萍 《数学物理学报(B辑英文版)》2003,23(4):521-530
In this paper, the author gives a characterization of atomic Hardy spaces associated to Schroedinger operators by using area functions, and hence gets the dual spaces of atomic Hardy spaces. 相似文献
7.
This paper studies the collective compactness of composition operator se-quences between the Bergman and Hardy spaces. Some sufficient and necessary conditionsinvolving the generalized Nevanlinna counting functions for composition operator sequencesto be collectively compact between weighted Bergman spaces are given. 相似文献
8.
Commutators of Calderon-Zygmund operators on product spaces to be study in the paper is the commutators of Sarah H Ferguson and Michael T Lacey. The L~P boundedness of the nested commutators is proved on product spaces, where 1<p<∞. 相似文献
9.
Yoshihiro Sawano 《数学学报(英文版)》2009,25(8):1223-1242
In the present paper, we obtain three independent results on the Besov-Morrey spaces and the Triebel-Lizorkin-Morrey spaces. That is, we are going to obtain the characterization of local means, the boundedness of pseudo-differential operators and the characterization of the Hardy-Morrey spaces. By using the maximal estimate and the molecular decomposition, we shall integrate and extend the known results on these spaces. 相似文献
10.
The article not only presents the boundedness and compactness of the weighted composition operator from α-Bloch spaces(or little α-Bloch spaces) to H^∞, but also gives some estimates for the norm of the weighted composition operator. 相似文献
11.
The boundedness and compactness of the products of differentiation and composition operators from Zygmund spaces to Bloch spaces and Bers spaces are discussed in this paper. 相似文献
12.
The authors mainly study the Hausdorff operators on Euclidean space Rn.They establish boundedness of the Hausdorff operators in various function spaces,such as Lebesgue spaces,Hardy spaces,local Hardy ... 相似文献
13.
本证明明了多线性Littlewood—Patey算子在一类H^1空间上的加权有界性。 相似文献
14.
APPLICATIONS OF HERZ-TYPE TRIEBEL-LIZORKIN SPACES 总被引:3,自引:0,他引:3
In this paper, the authors first establish the connections between the Herz-type Triebel-Lizorkin spaces and the well-known Herz-type spaces; the authors then studythe pointwise multipliers for the Herz-type Triebel-Lizorkin spaces and show that pseudo-differential operators are bounded on these spaces by using pointwise multipliers. 相似文献
15.
研究了从上半平面的Hardy空间到增长型空间和Bloch空间上的加权复合算子有界性的充要条件,给出了上半平面增长型空间上的加权复合算子有界性的充要条件,利用上半平面增长型空间和圆盘增长型空间之间的同构,获得了圆盘增长型空间上的加权复合算子有界性的充要条件. 相似文献
16.
一类次线性算子在广义Morrey空间上的加权有界性 总被引:1,自引:0,他引:1
本证明了如果次线性算子T在Orlicz空间上有介,则也有Morrey空间上有界,该算子包括极大算子和奇异积分算子等重要算子。 相似文献
17.
本文研究了多复变数单位多圆柱上不同的p-Bloch空间,小p-Bloch空间和小p-Bloch*空间 (0
相似文献
18.
In this paper we study Toeplitz operators on Dirichlet spaces and describe the boundedness and compactness of Toeplitz operators
on Dirichlet spaces. Meanwhile, we give density theorems for Toeplitz operators on Dirichlet spaces
Received December 22,1998, Revised March 27, 2000, Accepted June 27, 2000 相似文献
19.
Valentin Matache 《Proceedings of the American Mathematical Society》1999,127(5):1483-1491
We consider composition operators on Hardy spaces of a half-plane. We mainly study boundedness and compactness. We prove that on these spaces there are no compact composition operators.