Hardy-Rellich Type Inequalities Associated with Dunkl Operators.

In this paper, the authors obtain the Dunkl analogy of classical Lp Hardy inequality for p > N + 2γ with sharp constant ( p − N − 2 γ p) p , where 2γ is the degree of weight function associated with Dunkl operators, and Lp Hardy inequalities with distant function in some G-invariant domains. Moreover they prove two Hardy-Rellich type inequalities for Dunkl operators. [ABSTRACT FROM AUTHOR]