$(m, \psi, \delta)-$capacity and its properties

Kobiljon Kuldoshev

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arXiv · 2509.22440

$(m, \psi, \delta)-$capacity and its properties

Kobiljon Kuldoshev

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Abstract

In this paper, we introduce the concept of the generalized $(m, \psi, \delta)-$capacity in the complex space $\mathbb{C}^n$, within the class of $m-$subharmonic functions. We give a relation between $(m, \psi, \delta)-$capacity and $(m, \psi, \delta)-$subharmonic measure. Moreover, we prove that the capacity vanishes on $m-$polar sets and vice versa.

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Kobiljon Kuldoshev. 2025-09-26. $(m, \psi, \delta)-$capacity and its properties. https://arxiv.org/abs/2509.22440

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