ON THE L-p-BOUNDEDNESS OF THE STOCHASTIC SINGULAR INTEGRAL OPERATORS AND ITS APPLICATION TO L-p-REGULARITY THEORY OF STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS

Kim Ildoo; Kim Kyeong-Hun

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ON THE L-p-BOUNDEDNESS OF THE STOCHASTIC SINGULAR INTEGRAL OPERATORS AND ITS APPLICATION TO L-p-REGULARITY THEORY OF STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS

机译：关于随机奇异积分算子的L-P界性及其在随机偏微分方程的L-P定期理论中的应用

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In this article we introduce a stochastic counterpart of the Hormander condition and Calderon-Zygmund theorem. Let W-t be a Wiener process in a probability space Omega and let K(omega, r, t, x, y) be a random kernel which is allowed to be stochastically singular in a domain O subset of R-d in the sense that

机译：在本文中，我们介绍了霍尔德纳德病症和Calderon-Zygmund定理的随机对应物。让W-T是概率空间ω的维纳过程，让K（Omega，R，T，x，y）是一个随机内核，其在域的域O子集中被置于R-D的域组中

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《Transactions of the American Mathematical Society》 |2020年第8期|共32页
作者
Kim Ildoo; Kim Kyeong-Hun;
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作者单位

Korea Univ Dept Math 1 Anam Dong Seoul 136701 South Korea;

Korea Univ Dept Math 1 Anam Dong Seoul 136701 South Korea;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Stochastic Calderon-Zygmund theorem; stochastic Hormander condition; stochastic singular integral operator; stochastic partial differential equation; maximal L-p-regularity;

机译：随机卡尔德隆 - Zygmund定理;随机血型器条件;随机奇异积分算子;随机偏微分方程;最大L-P定期;

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1. ON THE L-p-BOUNDEDNESS OF THE STOCHASTIC SINGULAR INTEGRAL OPERATORS AND ITS APPLICATION TO L-p-REGULARITY THEORY OF STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS [J] . Kim Ildoo, Kim Kyeong-Hun Transactions of the American Mathematical Society . 2020,第8期

机译：关于随机奇异积分算子的L-P界性及其在随机偏微分方程的L-P定期理论中的应用
2. Backward Doubly Stochastic Differential Equations with Jumps and Stochastic Partial Differential-Integral Equations [J] . Qingfeng ZHU, Yufeng SHI 数学年刊B辑（英文版） . 2012,第001期

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3. Non-autonomous stochastic evolution equations and applications to stochastic partial differential equations [J] . Veraar MC Journal of evolution equations . 2010,第1期

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4. Linear Operators and Stochastic Partial Differential Equations in Gaussian Process Regression [C] . Simo Saerkkae International conference on artificial neural networks;ICANN 2011 . 2011

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5. Model, identification & analysis of complex stochastic systems: Applications in stochastic partial differential equations and multiscale mechanics. [D] . Das, Sonjoy. 2008

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ON THE L-p-BOUNDEDNESS OF THE STOCHASTIC SINGULAR INTEGRAL OPERATORS AND ITS APPLICATION TO L-p-REGULARITY THEORY OF STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS

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