Pluripolarity of Graphs of Denjoy Quasianalytic Functions of Several Variables
Sevdiyor Imomkulov, Zafar Ibragimov
TL;DR
This paper proves that the graphs of Denjoy quasianalytic functions of several variables are pluripolar, extending the understanding of their complex geometric properties.
Contribution
It establishes the pluripolarity of graphs for a class of functions in multiple variables, a novel result in complex analysis.
Findings
Graphs of Denjoy quasianalytic functions are pluripolar.
Extends pluripolarity results to multivariable functions.
Provides new insights into complex geometric properties of these functions.
Abstract
In this paper we prove pluripolarity of graphs of Denjoy quasianalytic functions of several variables on the spanning set
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Taxonomy
TopicsAnalytic and geometric function theory · Holomorphic and Operator Theory · Functional Equations Stability Results