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华南师范大学学报（自然科学版） 2024年第2期56卷 100-104页

作者：李玲飞梁潇月张晓艺王岳山东北电力大学理学院吉林132012

研究了一类非线性退化抛物方程的指数能稳性:首先,利用边界提升的方法给出了齐次系统的指数能稳性;然后,借助加权Sobolev空间的嵌入定理和不动点定理得到非线性系统的局部指数能稳性。

关键词：退化抛物方程能稳性非线性项

Boundedness of High Order Commutators of Riesz Transforms Associated with Schrodinger Type Operators

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Analysis in Theory and Applications 2020年第1期36卷 99-110页

作者： yueshan wang Department of Mathematics Jiaozuo UniversityJiaozuo 454003HenanChina

Let L2=(-△)^2+ V^2 be the Schrödinger type operator, where V≠0 is a nonnegative potential and belongs to the reverse Holder class RHq1 for q1> n/2, n ≥5. The higher Riesz transform associated with L2 is denoted by R=△^2L2^(-1/2)and its dual is denoted by R^*=L2^(-1/2)△^2. In this paper, we consider the m-order commutators [b^m, R] and [bm, R^*], and establish the(L^p, L^q)-boundedness of these commutators when b belongs to the new Campanato space Λβ^θ(ρ) and 1/q = 1/p-mβ/n.

关键词： Schrödinger operator Campanato space Riesz transform commutator

Norm Inequalities for Fractional Integral Operators on Generalized Weighted Morrey Spaces

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Analysis in Theory and Applications 2017年第2期33卷 93-109页

作者： yueshan wang Department of Mathematics Jiaozuo UniversityJiaozuoHenan 454003China

Considering a class of operators which include fractional integrals related to operators with Gaussian kernel bounds, the fractional integral operators with rough kernels and fractional maximal operators with rough kernels as special cases, we prove that if these operators are bounded on weighted Lebesgue spaces and satisfy some local pointwise control, then these operators and the commutators of these operators with a BMO functions are also bounded on generalized weighted Morrey spaces.

关键词： Fractional integral rough kernel Gaussian kernel bound commutator generalized weighted Morrey space.

Multilinear Fractional Integrals and Commutators on Generalized Herz Spaces

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Analysis in Theory and Applications 2016年第2期32卷 103-121页

作者： yueshan wang Yuexiang He Department of Mathematics Jiaozuo University

Suppose b= （b1,…,bm） E （BMO）^m, Iα,m^∏b is the iterated commutator of b and the m-linear multilinear fractional integral operator Iα,m. The purpose of this paper is to discuss the boundedness properties of Iα... 详细信息

关键词： Multilinear fractional integral generalized Herz space commutator Muckenhoupt weight.

Boundedness Estimates for Commutators of Riesz Transforms Related to Schrödinger Operators

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Analysis in Theory and Applications 2018年第4期34卷 306-322页

作者： yueshan wang Yuexiang He Department of Mathematics Jiaozuo UniversityJiaozuo 454003HenanChina

Let L =-?+V be a Schr?dinger operator on R^n(n ≥ 3), where the non-negative potential V belongs to reverse H?lder class RH_(q1) for q_1>n/2. Let H_L^p(R^n)be the Hardy space associated with L. In this paper, we consider the commutator[b,T_α], which associated with the Riesz transform T_α= V~α(-?+V)^(-α) with 0 < α ≤ 1,and a locally integrable function b belongs to the new Campanato space Λ_β~θ(ρ). We establish the boundedness of [b,T_α] from L^p(R^n) to L^q(R^n) for 1 < p < q_1/α with 1/q = 1/p-β/n. We also show that [b,T_α] is bounded from H_L^p(R^n) to L^q(R^n) when n/(n+ β) < p ≤ 1,1/q = 1/p-β/n. Moreover, we prove that [b,T_α] maps H_L^(n/n+β)(~Rn)continuously into weak L^1(R^n).

关键词： Riesz transform Schr?dinger operator commutator Campanato space Hardy space

Toeplitz Type Operator Associated to Singular Integral Operator with Variable Kernel on Weighted Morrey Spaces

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Analysis in Theory and Applications 2016年第1期32卷 90-102页

作者： Yuexiang He yueshan wang Department of Mathematics Jiaozuo University

Suppose T^k,l and T^k,2 are singular integrals with variable kernels and mixed homogeneity or ±I （the identity operator）. Denote the Toeplitz type operator by T^b=k=1∑^QT^k,1M^bT^k,2 where M^bf= bf. In this paper, the boundedness of Tb on weighted Morrey space are obtained when b belongs to the weighted Lipschitz function space and weighted BMO function space, respectively.

关键词： Toeplitz type operator singular integral operator variable Calderon-Zygmund kernel weighted BMO function weighted Lipschitz function weighted Morrey space.

Parameterized Littlewood-Paley Operators on Weighted Herz Spaces

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Analysis in Theory and Applications 2017年第4期33卷 301-315页

作者： yueshan wang Aiqing Chen Department of Mathematics Jiaozuo University Department of Mathematics Jiaozuo Teachers College

The strong type and weak type estimates of parameterized Littlewood-Paley operators on the weighted Herz spaces Kq α,p（ω1,ω2） are considered. The boundednessof the commutators generated by BMO functions and param... 详细信息

关键词： Parameterized Littlewood-Paley operator Herz space weak Herz space BMO com-mutator Muckenhoupt weight.

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基于声学谐振腔的新型瓦斯气体传感器的研究

压电与声光 2010年第4期32卷 697-700页

作者：陈立万王悦善重庆三峡学院应用技术学院重庆404000

主要论述了一种新型的声学谐振腔的瓦斯气体传感器。从分析声学谐振腔的物理特性入手,将声学谐振腔的声速、声压与RLC电路的电流、电压相对照,进行严密的数学推论,建立了声学谐振腔检测瓦斯浓度的数学模型。通过实验验证了声学传感器检... 详细信息

主要论述了一种新型的声学谐振腔的瓦斯气体传感器。从分析声学谐振腔的物理特性入手,将声学谐振腔的声速、声压与RLC电路的电流、电压相对照,进行严密的数学推论,建立了声学谐振腔检测瓦斯浓度的数学模型。通过实验验证了声学传感器检测瓦斯气体的合理性和正确性。该传感器可用于煤矿作业中的瓦斯气体的检测。与传统气体传感器相比,该传感器具有使用寿命长,检测速度快,检测精度高和功率低的优点,克服了传统气体传感器采用化学反应原理的缺陷,有力地保证了在煤矿作业中瓦斯检测长期连续精确地进行,为安全生产提供保障。

关键词：检测声学谐振腔传感器气体