共查询到20条相似文献,搜索用时 406 毫秒
1.
2.
T_b表示由加权Lipschitz函数b与Calderon-Zygmund奇异积分算子T生成的交换子.研究了T_b在加权Herz型Hardy空间上的有界性质,并在端点处证明了交换子是从加权Herz型Hardy空间到加权弱Herz空间的有界算子. 相似文献
3.
4.
5.
6.
7.
8.
9.
研究含有参变量的面积积分及其与BMO函数构成的高阶交换子在广义加权Morrey空间上的估计,利用函数的局部加权估计,证明了面积积分及其高阶交换子在广义加权Morrey空间上是有界算子.这些结果改进和丰富了一些已有的研究结论. 相似文献
10.
讨论了由核函数满足具有某类Dini条件的Marcinkiewicz积分μΩ及函数b∈Lipβ(R~n)生成的交换子μ(_Ω,b)~m的性质.证明了Marcinkiewicz积分交换子μ_(_Ω,b)~m在Hardy型空间H_(bm,s)(R~n)上有界,也在Herz型Hardy空间H_(bm)K_p~(a_q)(R~n)上有界. 相似文献
11.
The operator norms of weighted Hardy operators on Morrey spaces are worked out. The other purpose of this paper is to establish
a sufficient and necessary condition on weight functions which ensures the boundedness of the commutators of weighted Hardy
operators (with symbols in BMO(ℝ
n
)) on Morrey spaces. 相似文献
12.
Let G be a bounded locally compact Vilenkin group. We study the atomic decom‐position of weighted weak Hardy space. We also define several Calderón – Zygmund type operators and study their boundedness on, spaces like weighted Hardy spaces, weighted weak Hardy spaces and weighted weak Lebesgue spaces. Sharpness of some of our results is also discussed. 相似文献
13.
The boundedness of the finite Hilbert transform operator on certain weighted Lp spaces is well known. We extend this result to give the boundedness of that operator on certain weighted Sobolev spaces. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
14.
Jorge J. Betancor Juan C. Fariña Lourdes Rodríguez-Mesa Alejandro Sanabria-García 《Journal of Fourier Analysis and Applications》2008,14(4):493-513
In this paper we establish transference results showing that the boundedness of the conjugate operator associated with Hankel
transforms on Lorentz spaces can be deduced from the corresponding boundedness of the conjugate operators defined on Laguerre,
Jacobi, and Fourier–Bessel settings. Our result also allows us to characterize the power weights in order that conjugation
associated with Laguerre, Jacobi, and Fourier–Bessel expansions define bounded operators between the corresponding weighted
L
p
spaces.
This paper is partially supported by MTM2004/05878. Third and fourth authors are also partially supported by grant PI042004/067. 相似文献
15.
LetHa,b be the commutator generated by the generalized Hardy operator and the CMO function. The (Lp, Lp) boundedness of Ha,b is discussed in this paper. Furthermore, the authors consider the boundedness of Ha,b on the weighted homogeneous Herz spaces (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
16.
E. A. Gallardo-Gutiérrez R. Kumar J. R. Partington 《Integral Equations and Operator Theory》2010,67(4):467-479
The boundedness and compactness of weighted composition operators on the Hardy space H2{{\mathcal H}^2} of the unit disc is analysed. Particular reference is made to the case when the self-map of the disc is an inner function.
Schatten-class membership is also considered; as a result, stronger forms of the two main results of a recent paper of Gunatillake
are derived. Finally, weighted composition operators on weighted Bergman spaces
A2a(\mathbbD){\mathcal{A}^2_\alpha(\mathbb{D})} are considered, and the results of Harper and Smith, linking their properties to those of Carleson embeddings, are extended
to this situation. 相似文献
17.
In this paper we characterize the boundedness and compactness of weighted composition operators of H∞ into α-Bloch spaces on the unit ball in C^n. 相似文献
18.
Peter R. Mercer 《Integral Equations and Operator Theory》1998,31(4):482-488
It is shown that a compact composition operator on a weighted Bergman space over a smoothly bounded strongly convex domain in
n
can have no angular derivative. Also, sufficient conditions for the boundedness and the compactness of composition operators defined on Hardy and weighted Bergman spaces are obtained, for situations in which each of the target spaces is enlarged in a natural way. 相似文献
19.
Yasuo Komori 《Mathematische Nachrichten》2003,259(1):42-50
We define weak Herz spaces (?n) which are the weak version of the ordinary Herz spaces (?n). We consider the boundedness of Calderón‐Zygmund operators from to at critical indexes α = ?n/q, n(1? 1/q) and q = 1. We also consider weighted estimates. (© 2003 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
20.
《复变函数与椭圆型方程》2012,57(5):333-344
This article provides information on p-logarithmic s-Carleson measure characterization of the weighted BMOA spaces. Also, the boundedness and compactness of composition operators from Bloch-type space and weighted Bloch space to weighted BMOA space are discussed. 相似文献