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arXiv · 2105.04275

On sharp constants in Paley problem for plurisubharmonic functions of lower order $\rho>1$

Arian Bërdëllima
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Abstract

In 1999 Khabibullin established the best estimate in Paley problem for a plurisubharmonic function $u$ of finite lower order $0\leq\rho\leq 1$. For $\rho>1$ obtaining a sharp estimate has remained an open question. In this work we solve this problem. We also provide some estimates for the types of the characteristic functions $T(r,u)$ and $M(r,u)$.

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Arian Bërdëllima. 2021-05-10. On sharp constants in Paley problem for plurisubharmonic functions of lower order $\rho>1$. https://arxiv.org/abs/2105.04275

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