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Homogeneous plurisubharmonic polynomials in higher dimensions

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Publication:2238567
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DOI10.1007/s12220-021-00697-yzbMath1478.32109arXiv2103.06975OpenAlexW3174866381MaRDI QIDQ2238567

Lars Simon

Publication date: 1 November 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.06975


zbMATH Keywords

finite-type domainshomogeneous plurisubharmonic polynomials


Mathematics Subject Classification ID

Finite-type domains (32T25) Plurisubharmonic functions and generalizations (32U05)




Cites Work

  • Integral kernels and Hölder estimates for \({\bar \partial}\) on pseudoconvex domains of finite type in \({\mathbb{C}}^ 2\)
  • Plurisubharmonic polynomials and bumping
  • Maximally tangent complex curves for germs of finite type \({\mathcal{C}^\infty}\) pseudoconvex domains in \({\mathbb C^3}\)
  • Sup-norm estimates for \({\bar\partial}\) in \({\mathbb{C}}^ 2\)
  • A construction of peak functions on weakly pseudoconvex domains
  • Construction of p.s.h. functions on weakly pseudoconvex domains
  • Model Pseudoconvex Domains and Bumping
  • Unnamed Item
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