共查询到19条相似文献,搜索用时 203 毫秒
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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
3.
ZHAO Yan-hui 《高校应用数学学报(A辑)》2012,27(1)
利用泛函分析多复变的方法,研究了单位球上Dirichlet型空间到Zygmund型空间的加权Cesàro算子的有界性和紧性问题.获得了单位球上Dirichlet型空间到Zygmund型空间的加权Cesàro算子为有界算子和紧算子的充要条件. 相似文献
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We study the weighted composition operators Wh,on Hardy space H2(B) whenever h ∈ BMOA(resp.h ∈ VMOA).Analogous results are given for Hp(B) spaces and the scale of weighted Bergman spaces.In the latter case,BMOA is replaced by the Bloch space(resp.VMOA by the little Bloch space). 相似文献
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设φ是复平面上的单位圆盘D上的全纯自映射,0<p<∞,q>-2,α>0.本文给出广义加权Bloch空间与QK(p,q)空间之间的复合算子的有界性和紧性. 相似文献
8.
研究了单位球上F(p,q,s)空间到β_μ空间的加权复合算子的有界性和紧性问题.利用泛函分析多复变的方法,获得了单位球上F(p,q,s)空间到β_μ空间的加权复合算子为有界算子和紧算子的充要条件. 相似文献
9.
设μ是正规函数,文中探讨了多复变中单位球上一般函数空间F(p,q,s)到广义Bloch型空间β_μ的点乘子,并给出了几个推论. 相似文献
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该文分别给出了单位球B上空间F(p, q, s)到空间βα之复合算子C_{varphi}为有界算子和紧算子的充要条件.同时作为推论获得了Bloch型空间的相应结果. 相似文献
11.
Yu-Xia Liang 《复变函数与椭圆型方程》2015,60(2):282-291
We characterize the boundedness and compactness of an integral-type operator introduced by S. Stevi? from a weighted-type space to F(p,q,s) space on the unit ball of ?n. 相似文献
12.
In this paper we construct certain moduli spaces, which we call
moduli spaces of (principal) F-bundles,
and study their basic properties. These spaces are
associated to triples consisting of a smooth projective geometrically
connected curve over a finite field, a split
reductive group G, and an irreducible
algebraic representation
.of
of
Our spaces generalize moduli
spaces of F-sheaves, studied
by Drinfeld and Lafforgue, which correspond to the case G
= GLr
and
is the tensor product of the standard
representation and its dual. The importance of the moduli spaces
of F-bundles is due to the
belief that Langlands correspondence is realized in their cohomology. 相似文献
13.
Weighted composition operators from weighted Bergman spaces to weighted-type spaces on the unit ball
Stevo Stevi? 《Applied mathematics and computation》2009,212(2):499-504
We calculate the operator norm of the weighted composition operator from a weighted Bergman space to a weighted-type space on the unit ball of Cn. We also characterize the compactness of the operator. 相似文献
14.
Let H be a complex Hilbert space of dimension greater than 2, and B(H) denote the Banach algebra of all bounded linear operators on H. For A, B ∈ B(H), define the binary relation A ≤* B by A*A = A*B and AA* = AB*. Then (B(H), “≤*”) is a partially ordered set and the relation “≤*” is called the star order on B(H). Denote by Bs(H) the set of all self-adjoint operators in B(H). In this paper, we first characterize nonlinear continuous bijective maps on B
s
(H) which preserve the star order in both directions. We characterize also additive maps (or linear maps) on B(H) (or nest algebras) which are multiplicative at some invertible operator. 相似文献
15.
For 0 < α < mn and nonnegative integers n ≥ 2, m ≥ 1, the multilinear fractional integral is defined by
where = (y
1,y
2, ···, y
m
) and denotes the m-tuple (f
1,f
2, ···, f
m
). In this note, the one-weighted and two-weighted boundedness on L
p
(ℝ
n
) space for multilinear fractional integral operator I
α(m) and the fractional multi-sublinear maximal operator M
α(m) are established respectively. The authors also obtain two-weighted weak type estimate for the operator M
α(m).
Supported in Part by the NNSF of China under Grant #10771110, and by NSF of Ningbo City under Grant #2006A610090. 相似文献
16.
Mohamed Ali Toumi 《Positivity》2007,11(2):357-368
Let A be an Archimedean vector lattice, let be its Dedekind completion and let B be a Dedekind complete vector lattice. If Ψ 0:A × A→ B is a positive orthosymmetric bimorphism, then there exists a positive bimorphism extension Ψ of Ψ 0 to × in B which is orthosymmetric. This leads to a new and short proof of the commutativity of the almost f-algebras multiplications. 相似文献
17.
Let X be a Banach space, K be a scattered compact and T: B
C(K) → X be a Fréchet smooth operator whose derivative is uniformly continuous. We introduce the smooth biconjugate T**: B
C(K)** → X** and prove that if T is noncompact, then the derivative of T** at some point is a noncompact linear operator. Using this we conclude, among other things, that either
is compact or that ℓ1 is a complemented subspace of X*. We also give some relevant examples of smooth functions and operators, in particular, a C
1,u
-smooth noncompact operator from B
c
O which does not fix any (affine) basic sequence.
P. Hájek was supported by grants A100190502, Institutional Research Plan AV0Z10190503. 相似文献
18.
In this paper, we give the eigenvalues of the manifold Sp(n)/U(n). We prove that an eigenvalue λ
s
(f
2, f
2, …, f
n
) of the Lie group Sp(n), corresponding to the representation with label (f
1, f
2, ..., f
n
), is an eigenvalue of the manifold Sp(n)/U(n), if and only if f
1, f
2, …, f
n
are all even. 相似文献
19.
JunRu Si 《中国科学A辑(英文版)》2009,52(11):2419-2431
The paper focuses on the 1-generated positively graded algebras with non-pure resolutions and mainly discusses a new kind of algebras called(s,t,d)-bi-Koszul algebras as the generalization of bi-Koszul algebras. An(s,t,d)-bi-Koszul algebra can be obtained from two periodic algebras with pure resolutions. The generation of the Koszul dual of an(s,t,d)-bi-Koszul algebra is discussed. Based on it,the notion of strongly(s,t,d)-bi-Koszul algebras is raised and their homological properties are further discussed. 相似文献