Hardy-Rellich Type Inequalities Associated with Dunkl Operators
Tóm tắt
In this paper, the authors obtain the Dunkl analogy of classical Lp Hardy inequality for p > N + 2γ with sharp constant
$${\left({{{p - N - 2\gamma} \over p}} \right)^p}$$
, 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.
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