共查询到17条相似文献,搜索用时 46 毫秒
1.
本文主要研究了Vilenkin群上的加权Hardy空间的原子分解,证明了一个加权H^p乘子定理并给出其应用。 相似文献
2.
G表示局部紧的Vilenkin群, 在论文中作者将研究某些次线性算子和Calderón Zygmund算子在Herz型Hardy空间上的有界性.
相似文献
3.
设 G是局部紧的 Vilenkin群 .本文研究了一类具有分数次积分性质的次线性算子从 H Kα,p1q1(G)到 (弱 ) H Kα,p2q2 (G)有界的判别条件 . 相似文献
4.
5.
本文讨论了局部紧的Vilenkin群上的加权乘子,得到了L^∞(Г)中的函数是空中K^q,pq(ω1,ω2)(G)中的有界乘子的充分条件。 相似文献
6.
本文证明了当α=n1-1q时,强奇异积分算子是从齐次加权Herz型Hardy空间HKα,pq(w1;w2)到齐次加权Herz空间Kα,pq(w1;w2)上的有界算子.而且,该算子在非齐次加权Herz型Hardy空间HKα,pq(w1;w2)上的有界性也被考查. 相似文献
7.
In this paper, by applying a vector-valued inequality we obtained a decomposition theorem on Herz spaces over locally compact Vilenkin groups with new range 0 < q≤1. 相似文献
8.
定义了离散型加权局部Hardy空间hpω(Rn),以及该空间上的(p.2)-原子,借助于离散的Calderon恒等式,得到了加权局部Hardy空间的原子分解. 相似文献
9.
本得到了Vilenkin群上Herz型Hardy空间中的线性算子内插定理及其推广。 相似文献
10.
建立了齐次群上伴随于Herz空间和Beurling代数的Hardy空间的分子分解理论.作为其应用.研究了中心强奇异Calderon-Zygmund算子在这些空间上的有界性. 相似文献
11.
Can Qin TANG Qing Guo LI Bo Lin MA 《数学学报(英文版)》2005,21(3):599-612
Let G be a locally compact Vilenkin group. In this paper the authors study the boundedness of bilinear operators B(f, g) given by finite sums of products of Calderdn-Zygmund operators in Herz space and Herz-type Hardy space on G. And an example, the boundedness from the products of Herz space to Herz-type Hardy space is given in the last section. 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.
M. Avdispahi? 《Journal of Mathematical Analysis and Applications》2010,363(2):588-595
We characterize atomic Hardy spaces on unbounded locally compact Vilenkin groups by means of a modified maximal function. The obtained Fourier multiplier theorem is more general than the corresponding results due to Kitada, Onneweer and Quek, Daly and Phillips that were proved under the boundedness assumption on the underlying group. 相似文献
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15.
YuePingZHU 《数学学报(英文版)》2004,20(5):779-784
In this paper, we mainly investigate the boundedness of Littlewood-Paley functions and pseudo-differential operators on weighted Herz-type Hardy spaces over locally compact Vilenkin groups. 相似文献
16.
J. Hounie Rafael Augusto dos Santos Kapp 《Journal of Fourier Analysis and Applications》2009,15(2):153-178
In this work, we study the continuity of pseudodifferential operators on local Hardy spaces h
p
(ℝ
n
) and generalize the results due to Goldberg and Taylor by showing that operators with symbols in S
1,δ
0(ℝ
n
), 0≤δ<1, and in some subclasses of S
1,10(ℝ
n
) are bounded on h
p
(ℝ
n
) (0<p≤1). As an application, we study the local solvability of the planar vector field L=∂
t
+ib(x,t)∂
x
, b(x,t)≥0, in spaces of mixed norm involving Hardy spaces.
Work supported in part by CNPq, FINEP, and FAPESP. 相似文献
17.
首先引入了一个新空间—局部紧Vilenkin群G上弱齐次Morrey-Herz空间WMK_(p,q)~(α,λ)(G),然后在WMK_(p,q)~(α,λ)(G)上讨论了一些奇异积分算子和分数次奇异积分算子的有界性问题. 相似文献