摘要
In this paper,the authors obtain the Dunkl analogy of classical L^(p)Hardy inequality for p>N+2γwith sharp constant((p-N-2γ)/p)^(p),where 2γis the degree of weight function associated with Dunkl operators,and L pHardy inequalities with distant function in some G-invariant domains.Moreover they prove two Hardy-Rellich type inequalities for Dunkl operators.
基金
supported by the National Natural Science Foundation of China(Nos.11771395,12071431)