arXiv Open Access 2025

$(m, ψ, δ)-$capacity and its properties

Kobiljon Kuldoshev

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Abstrak

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

Topik & Kata Kunci

math.CV

Penulis (1)

Kobiljon Kuldoshev

Format Sitasi

APA MLA BibTeX

Kuldoshev, K. (2025). $(m, ψ, δ)-$capacity and its properties. https://arxiv.org/abs/2509.22440

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓