联系离散Laplacian的半群上的振动算子  

The oscillation of the semigroups associated with discrete Laplacian

作　　者：肖娅丽 李平 XIAO Yali;LI Ping(School of Information and Mathematics,Yangtze University,Jingzhou 434023,Hubei,China)

机构地区：[1]长江大学信息与数学学院,湖北荆州434023

出　　处：《华中师范大学学报（自然科学版）》2022年第6期922-927,共6页Journal of Central China Normal University：Natural Sciences

基　　金：国家自然科学基金项目(11771165).

摘　　要：该文研究了联系离散LaplacianΔ_(d)的热半群上的振动算子O(W_(t)).利用离散的半群方法和离散的向量值Calderón-Zygmund理论,证明了振动算子O(W_(t))在1<p<∞时从l^(p)(Z)到l^(p)(Z)是有界的,而且从l^(1)(Z)到弱-l^(1)(Z)也是有界的.Let O(W_(t))be the oscillation operator of heat semigroup associated with discrete LaplacianΔ_(d).By using discrete semigroup theory and discrete vector-valued Calderón-Zygmund theorem,it is proved that the oscillation operator O(W_(t))is bounded from l^(p)(Z)into itself for 1<p<∞,bounded from l^(1)(Z)into weak-l^(1)(Z).

关 键 词：离散Laplacian 离散的热半群 振动算子 BESSEL函数 

分 类 号：O177.5[理学—数学]