Heisenberg群上的分数次Hardy算子在混合范空间上的最佳界
Sharp Constants on Mixed Norm Spaces for Fractional Hardy Operators on Heisenberg Group
本文研究Heisenberg群上的分数次Hardy算子的最佳界.我们首先给出Heisenberg群上的分数次Hardy算子的Lp(Hn)→Lq(Hn)和L1(Hn)→Lq,∞(Hn)最佳界.在此基础上,进一步求出一类Heisenberg群上的乘积型分数次Hardy算子在混合范空间上的最佳界.
In this paper, studies sharp constants for fractional Hardy operators on Heisenberg group. We first give the Lp(Hn)→Lq(Hn) and L1(Hn)→Lq,∞(Hn) norm for fractional Hardy operators on Heisenberg group. Based on theses results, we further obtain the sharp constants for fractional Hardy operators on Heisenberg group of product type on mixed norm spaces.
分数次 Hardy 算子 / 混合范空间 / Heisenberg 群 / 最佳界 {{custom_keyword}} /
fractional Hardy operator / mixed norm space / Heisenberg group / sharp constant {{custom_keyword}} /
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国家自然科学基金资助项目(11471309,11561062);河南省自然科学基金(202300410338);信阳师范学院(南湖学者奖励计划)青年项目;河南省高等学校重点科研项目(18A110028)
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