Lp,q-norm estimates associated with Burkholder＇s inequalities

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：yanzhijianer

【摘要】

：

We prove Burkholder's inequalities in the frame of Lorentz spaces Lp,q(Ω), 1 < p < ∞, 1 < q < ∞. As application, we obtain the Lp,q-norm estimates on Ros

【作者】

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jIAO Yong

【机构】

：

SchoolofMathematicsScienceandComputingTechnology

【出处】

：

中国科学：数学英文版

【发表日期】

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2011年12期

【关键词】

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估计 LORENTZ空间数理统计积分变换 Lorentz spaces martingales Burkholder＇s inequalities R

【基金项目】

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Acknowledgements The author gratefully acknowledged the anonymous referees for their useful comments which enable us to make the paper more readable. This work was partly supported by National Natural

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We prove Burkholder's inequalities in the frame of Lorentz spaces Lp,q(Ω), 1 < p < ∞, 1 < q < ∞. As application, we obtain the Lp,q-norm estimates on Rosenthal's inequalities. These estimates generalize the classical Rosenthal's in

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Lp,q-norm estimates associated with Burkholder＇s inequalities

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