摘要
本文给出了与Hermite算子热半群和Poisson半群相关的变差算子的定量加权L^(p)(1<p<∞)估计,并且对n/n+1<p≤1,获得了其(H^(p)(ω),L^(p)(ω))有界性.这些结果改进和推广了Crescimbeni等人在[J.Evol.Equ.,2009,9(1):81-102]中的结果.
In this paper,we obtain the quantitative weighted L^(p)-estimates for variation operators of heat and Poisson semigroup associated with Hermite operators for 1<p<∞,and(H^(p)(ω),L^(p)(ω))bounds for n/n+1<p≤1,which improve and extend the result obtained by Crescimbeni et al.in[J.Evol.Equ.,2009,9(1):81–102].
作者
库福立
温泳铭
KU Fuli;WEN Yongming(School of Mathematical Sciences,Xiamen University,Xiamen,Fujian,361005,P.R.China;College of Mathematics and Physics,Xinjiang Agricultural University,Urumqi,Xinjiang,830054,P.R.China;School of Mathematics and Statistics,Minnan Normal University,Zhangzhou,Fujian,363000,P.R.China)
出处
《数学进展》
CSCD
北大核心
2022年第3期517-526,共10页
Advances in Mathematics（China）
基金
Supported by the Natural Science Foundation of Fujian Province(No.2021J05188)
the Scientific Research Project of the Education Department of Fujian Province(No.JAT200331)
President’s Fund of Minnan Normal University(No.KJ2020020)
Fujian Key Laboratory of Granular Computing and Applications,Institute of Meteorological Big Data-Digital Fujian and Fujian Key Laboratory of Data Science and Statistics(Minnan Normal University).
