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A class of weighted Hardy inequalities with remainder terms for Heisenberg type group

  • WANG Shengjun*
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  • (School of Mathematics and Statistics, Qinghai Normal University, Xining 810008, Qinghai, China)

Online published: 2023-05-06

Abstract

The problem of the improved versions to a class of weighted Hardy inequalities with remainder terms for Heisenberg type group is presented. By using divergence theorem and choosing suitable vector fields, a class of weighted Hardy inequalities with remainder terms is obtained. Furthermore, it is shown that the proof of the best constants by combining with the approximation method. Our results extend the existed results.

Cite this article

WANG Shengjun* . A class of weighted Hardy inequalities with remainder terms for Heisenberg type group[J]. Journal of Shaanxi Normal University(Natural Science Edition), 2023 , 51(1) : 38 -44 . DOI: 10.15983/j.cnki.jsnu.2023106

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