摘要
研究了H型群上一类带权的HLS不等式,也就是所谓Stein-Wiess不等式,并由此得到了H型群上的HLS不等式.通过建立H型群上一类积分算子的Lp-Lq有界性,利用此积分算子与Stein-Wiess不等式的关系,得到所求不等式,从而推广了Heisenberg群上的Stein-Wiess不等式.
A Stein-Weiss inequality on H-type groups is studied. By the inequality, the HLS inequality on H-type groups is also derived. By proving the Lp-L estimate of an integral operator, the main result is established based on the relationship between the integral operator and the inequality, and this result im- plies Stein-Weiss inequality on Heisenberg group.
出处
《纺织高校基础科学学报》
CAS
2013年第2期231-235,共5页
Basic Sciences Journal of Textile Universities
基金
国家自然科学基金资助项目(11271299)
天元基金资助项目(11126027)
陕西省自然科学基础研究计划项目面上项目(2012JM1014)
