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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
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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.
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次线性算子在Herz型Hardy空间上的有界性 总被引:6,自引:0,他引:6
本文得到了一类次线性算子在Herz型Hardy空间上的有界性判定条件,该算子包括调和分析中许多重要的算子,同时还证明了Bochner-Riesz算子在Herz型Hardy空间上的有界性. 相似文献
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Vilenkin群上Morrey空间里的算子有界性 总被引:2,自引:0,他引:2
Let G be a locally compact Vilenkin group. We will establish the boundedness in Morrey spaces L^p,λ(G) for a large class of sublinear operators and linear commutators. 相似文献
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研究了一类次线性算子在加权Herz空间.Knq(1-1/q),p(ω1;ω2)上的有界性. 相似文献
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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
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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
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We prove some boundedness results for a large class of sublinear operators with rough kernel on the homogeneous Herz spaces where the three main indices are variable exponents. Some known results are extended. 相似文献
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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
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《分析论及其应用》2017,33(4):301-315
The strong type and weak type estimates of parameterized Littlewood-Paley operators on the weighted Herz spaces K_q~(α,p) (ω_1, ω_2) are considered. The boundedness of the commutators generated by BMO functions and parameterized Littlewood-Paley operators are also obtained. 相似文献
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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
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QiangWU DaChunYANG 《数学学报(英文版)》2005,21(1):81-94
In this paper, two classes of closely related multilinear singular and fractional integrals,which include the commutators as special cases, are studied and their boundedness on Herz type spaces is discussed. In fact, it is proved that these operators are actually not bounded in certain extreme cases. 相似文献
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In this paper the boundedness results for some fractional and singular integral operators on the homogeneous Morrey-Herz spaces over locally compact Vilenkin groups are shown. 相似文献
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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
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给出了一些次线性算子从加权Herz空间到加权弱Herz空间的有界性证明。 相似文献