<p>In this article, we use a class of harmonic functions (maybe multi-valued) to study the equality part in a weighted version of Suita conjecture for higher derivatives and finite points case, and we obtain some sufficient and necessary conditions for the equality part to hold when the harmonic part <i>u</i> of the weight is trivial.</p>

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A Remark on a Generalized Suita Conjecture for Finite Points Case

  • Qi’an Guan,
  • Xun Sun,
  • Zheng Yuan

摘要

In this article, we use a class of harmonic functions (maybe multi-valued) to study the equality part in a weighted version of Suita conjecture for higher derivatives and finite points case, and we obtain some sufficient and necessary conditions for the equality part to hold when the harmonic part u of the weight is trivial.