共查询到20条相似文献,搜索用时 31 毫秒
1.
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
2.
In this paper, we study the commutativity of dual Toeplitz operators on weighted Bergman spaces of the unit ball. We obtain
the necessary and sufficient conditions for the commutativity, essential commutativity and essential semi-commutativity of
dual Toeplitz operator on the weighted Bergman spaces of the unit ball. 相似文献
3.
4.
Eun Sun Choi 《Journal of Mathematical Analysis and Applications》2009,353(1):375-385
In the harmonic Bergman space with the normal weight, we prove norm equivalences in terms of radial, gradient and invariant gradient norms. Using this, we give new characterizations in terms of Lipschitz type conditions with Euclidean, pseudo-hyperbolic and hyperbolic metrics on the ball. 相似文献
5.
Karel Stroethoff Dechao Zheng 《Journal of Mathematical Analysis and Applications》2007,325(1):114-129
We consider the question for which square integrable analytic functions f and g on the unit ball the densely defined products are bounded on the weighted Bergman spaces. We prove results analogous to those we obtained in the setting of the unit disk and the polydisk. 相似文献
6.
《Mathematical Methods in the Applied Sciences》2018,41(4):1619-1630
In this paper, we show that the set of quaternionic polynomials is dense in the Bergman spaces of slice regular functions in the unit ball, both of the first and of the second kind. Several proofs are presented, including constructive methods based on the Taylor expansion and on the convolution polynomials. In the last case, quantitative estimates in terms of higher‐order moduli of smoothness and of best approximation quantity are obtained. 相似文献
7.
唐笑敏 《高校应用数学学报(A辑)》2006,21(4):489-494
在Cn中单位球上讨论了加权Bergman空间Aαp和Bloch型空间βq之间的点乘子.根据α,p,q的不同情况,得到了Aαp空间到βq空间的所有点乘子,并研究了βq空间到Apα空间的点乘子的性质. 相似文献
8.
Renata Otá halová 《Proceedings of the American Mathematical Society》2008,136(7):2483-2492
For the standard weighted Bergman spaces on the complex unit ball, the Berezin transform of a bounded continuous function tends to this function pointwise as the weight parameter tends to infinity. We show that this remains valid also in the context of harmonic Bergman spaces on the real unit ball of any dimension. This generalizes the recent result of C. Liu for the unit disc, as well as the original assertion concerning the holomorphic case. Along the way, we also obtain a formula for the corresponding weighted harmonic Bergman kernels.
9.
Tang Xiaomin 《高校应用数学学报(英文版)》2007,22(1):61-68
This paper characterizes the boundedness and compactness of weighted composition operators between Bers-type space (or little Bers-type space) and Bergman space. Some estimates for the norm of weighted composition operators between those spaces are obtained. 相似文献
10.
Piotr Jakóbczak 《Rendiconti del Circolo Matematico di Palermo》2008,57(2):255-263
In this note we study the behaviour of holomorphic functions from the Bergman and Fock spaces on the rays of the unit disc
U and the complex plane ℂ. We obtain conditions on the finiteness of weighted L
2-integrals of those functions along rays.
相似文献
11.
Bo-Yong Chen 《Proceedings of the American Mathematical Society》2006,134(1):139-148
We prove a localization principle of the Bergman kernel form and metric for pseudoconvex domains in the complex projective space. An estimate of the Bergman distance is also given.
12.
Stevo Stevi 《Applied mathematics and computation》2009,215(6):2199-2205
Let H(X) be the class of all holomorphic functions on the set and uH(X). We calculate operator norms of the multiplication operators Mu(f)=uf, on the weighted Bergman space , as well as on the Hardy space Hp(X), where X is the unit polydisk or the unit ball in . We also calculate the norm of the weighted composition operator from the weighted Bergman space , and the Hardy space , to a weighted-type space on the unit polydisk. 相似文献
13.
介绍复球上Bergman空间实变理论的某些新进展,包括Bergman空间关于Carleson矩形的实变原子分解,极大函数和面积函数刻画以及运用帐篷空间的实变刻画.特别是,用齐次空间上向量值Calderón-Zygmund奇异积分算子理论研究Bergman积分算子的Lp有界性并给出了Bergman空间面积积分刻画的新证明... 相似文献
14.
The boundary behavior of the Bergman metric near a convex boundary point of a pseudoconvex domain is studied. It turns out that the Bergman metric at points in the direction of a fixed vector tends to infinity, when is approaching , if and only if the boundary of does not contain any analytic disc through in the direction of .
15.
《Journal of Functional Analysis》2023,284(9):109865
We study multiple sampling and interpolation problems with unbounded multiplicities in the weighted Bergman space, both in the hilbertian case and the uniform case. 相似文献
16.
We provide the full asymptotic expansion of the harmonic Berezin transform on the unit ball in Rn purely by means of transformations of hypergeometric functions and function?s “hypergeometrization”. 相似文献
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18.
In this paper,we establish the boundedness of parameterized Littlewood-Paley operator μ*,ρλ and parameterized area integral μΩρ,S with kernel satisfying the logarithmic type Lipschitz condition on the weak Hardy space. 相似文献
19.
In this paper, we characterize the boundedness and compactness of the weighted composition operators from the weighted Bergman space to the standard mixed-norm space or the mixed-norm space with normal weight on the unit ball and estimate the essential norms of the weighted composition operators. 相似文献
20.
Tao Mei 《Journal of Functional Analysis》2008,255(12):3356-3406
We study tent spaces on general measure spaces (Ω,μ). We assume that there exists a semigroup of positive operators on Lp(Ω,μ) satisfying a monotone property but do not assume any geometric/metric structure on Ω. The semigroup plays the same role as integrals on cones and cubes in Euclidean spaces. We then study BMO spaces on general measure spaces and get an analogue of Fefferman's H1-BMO duality theory. We also get a H1-BMO duality inequality without assuming the monotone property. All the results are proved in a more general setting, namely for noncommutative Lp spaces. 相似文献