共查询到18条相似文献,搜索用时 156 毫秒
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以鞅变换为工具,刻画了Orlicz-Hardy鞅空间与BMO空间之间的相互关系.证明了如下结论:对任意上指标有限(等价于满足△_2-条件)的Young函数Φ,鞅f∈H_Φ{P_Φ,Q_Φ}的充分必要条件是,f是BMO∈{BMO_1,BMO_2}中某个鞅g的鞅变换. 相似文献
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<正> 对所有 f∈BMO.近来,Varopoulos 在一个所谓“H”假定下,将此结果推广到带连续时间参量的 BMO 鞅.事实上,Varopoulos 的方法可以适当修改,使得在一更弱些的假定下得到同样的估计.这样 Garnett-Jones-Varopoulos 这一定理便在更广泛的范围成立,例如,对某些有跳跃的连续时间的 BMO 鞅,对正规原子的 BMO 鞅,对 Burkholder-Gundy 的正规 BMO 鞅,以及对 Gundy-Varopoulos BMO 鞅等等. 相似文献
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齐次Morrey-Herz空间中交换子的中心BMO估计 总被引:1,自引:0,他引:1
设T_b为广义Hardy算子和中心BMO函数生成的交换子,本文得到了该交换子在齐次加权Morrey-Herz空间中的有界性.而且,本文给出了带粗糙核的多线形奇异积分算子在齐次Morrey-Herz空间中的中心BMO估计. 相似文献
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<正> 本文讨论齐型空间上加权BMO的另一等价条件及以它为终端的实内插,内插结果表明加权BMO是加权L~∞的替代物.为此,我们先改进了文[3]中的Whitney分解定理得到定理1;作为它的另一应用得到了齐型空间中Hardy-Littlewood极大函数的加权L~(p,q)模不等式. 相似文献
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本文讨论齐型空间上L~1与BMO的内插空间,得到下列结果:对于0<θ<1,1≤q≤∞,有(L~1,BMO)_(θ,q)=L_(pq),其中θ=1-1/p. 相似文献
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建立了具有粗糙核的Hardy—Littlewood极大算子高阶交换子及其相应的分数次极大算子高阶交换子在齐次Morrey-Herz空间上的中心BMO估计,并由此得到了由一类次线性算子所生成的高阶交换子在齐次Morrey—Herz空间上的相应结果. 相似文献
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Hilbert空间中范数连续半群的特征 总被引:1,自引:0,他引:1
张连平 《应用泛函分析学报》2003,5(1):54-55
给出Hilbert空间中范数连续半群的一个新特征,同时极大地简化了已有结果的证明。 相似文献
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In this paper, we consider the real interpolation with a function parameter between martingale Hardy and BMO spaces. An interpolation theorem for martingale Hardy and BMO spaces is formulated. As an application, real interpolation between martingale Lorentz and BMO spaces is given. 相似文献
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Yong‐Cheol Kim 《Mathematische Nachrichten》2009,282(9):1278-1304
For a prime number p, let Q p be the p ‐adic field and let Q p d denote a vector space over Q p which consists of all d ‐tuples of Q p . Then we study the p ‐adic version of the Calderón–Zygmund decomposition, Carleson measures on the vector space Q p d +1 and the space BMO ( Q p d ) of functions of bounded mean oscillation on Q p d . In particular, it turns out that the operator norms of various oncoming operators are independent of the dimension d and the prime number p, which is one of the big differences from that of the Euclidean case. Interestingly, the independence of the dimension d and p makes it possible to develop Harmonic Analysis on the infinite dimensional p ‐adic vector space as the importance had already been pointed out in the Euclidean case (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
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本文证明了BMO函数在广义Littlewood-Paley函数下的象或者几乎处处等于无穷或者属于BMO。 相似文献
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Littlewood-Paley operator,the function g(f),is considered as an operator on BMO(T).It is proved that if f∈BMO(T),then g(f)∈BMO(T) and there is a constant C that is independent of f such that ||g(f)||*≤C||f||*.Moreover,we have got the further results. 相似文献
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Samia Benbernou Sadek Gala Maria Alessandra Ragusa 《Mathematical Methods in the Applied Sciences》2014,37(15):2320-2325
In this paper, we consider sufficient conditions for the regularity of Leray–Hopf solutions of the 3D incompressible magnetohydrodynamic equations via two components of the velocity and magnetic fields in terms of BMO spaces. We prove that if belongs to the space , then the solution (u,b) is regular. This extends recent results contained by Gala, Ji E and Lee J. Copyright © 2013 John Wiley & Sons, Ltd. 相似文献
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