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| Hardy-Rellich Type Inequalities Associated with Dunkl Operators* |
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Citation： |
Li TANG.Hardy-Rellich Type Inequalities Associated with Dunkl Operators*[J].Chinese Annals of Mathematics B,2022,43(2):281~294 |
| Page view： 702
Net amount： 634 |
Authors： |
Li TANG; |
Foundation： |
National Natural Science Foundation of China (Nos. 11771395,12071431). |
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| Abstract： |
In this paper, the authors obtain the Dunkl analogy of classical Lp Hardy inequality for p>N+2γ with sharp constant (\p-N-2γ\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. |
Keywords： |
Hardy inequalities, Hardy-Rellich inequalities, Best constant, Dunkl operators |
Classification： |
26D10, 42B37, 20F55 |
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