Integrals of differences of subharmonic functions. II. A criterion

2021/07/04 by Б. Н. Хабибуллин, Khabibullin, B. N.
Mathematics · #30D35 (Primary) 31A05 #31B05 (Secondary) #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.2107.02883

openalex publication_date 2021/07/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We supplement the result of the first part of the work with estimates of the integrals of the difference of subharmonic functions in measure with some deterioration of the absolute constants, but these estimates have the form of a criterion, which is formulated exclusively in terms of the measure and its potential. This criterion is also new for meromorphic functions on the complex plane.

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