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The generalised Laplace operator and the topological characteristic of removable \(\overline{S}\)-singular sets of subharmonic functions

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Publication:2030207
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DOI10.1007/s11785-021-01102-wzbMath1475.32024OpenAlexW3148866476MaRDI QIDQ2030207

Azimbay Sadullaev, Shomurod Shopulatov

Publication date: 7 June 2021

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-021-01102-w


zbMATH Keywords

subharmonic functionBlaschke-Privalov's theoremgeneralised Laplace operator


Mathematics Subject Classification ID

Plurisubharmonic functions and generalizations (32U05) General pluripotential theory (32U15) Plurisubharmonic extremal functions, pluricomplex Green functions (32U35)


Related Items (2)

A mean value criterion for plurisubharmonic functions ⋮ A remark on Oka's Lemma and a geometric property of pseudoconvex domains



Cites Work

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  • Conditions for subharmonicity and subharmonic extensions of functions
  • On a weak criterion for the subharmonicity of functions in R^n
  • SMOOTHNESS OF SUBHARMONIC FUNCTIONS


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