Weighted Polya Inequality in Cn
Ozan G\"uny\"uz
TL;DR
This paper develops a weighted version of Polya's inequality in complex n-dimensional space, extending the classical unweighted form originally established in 1975.
Contribution
It introduces a new weighted Polya inequality in Cn, generalizing the classical inequality by incorporating weights.
Findings
Derived a weighted Polya inequality in Cn
Extended classical unweighted inequality to weighted case
Provides tools for further analysis in complex analysis
Abstract
In this article, we obtain a weighted version of Polya inequality in Cn whose unweighted form was established by V. Zakharyuta in USSR Sbornik, 25 (1975), 350-364.
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Taxonomy
TopicsGeometry and complex manifolds · Advanced Algebra and Geometry · Geometric Analysis and Curvature Flows