A conjecture on some estimates for integrals
Bulat N. Khabibullin
TL;DR
This paper formulates a conjecture involving pairs of estimates for integrals, highlighting its significance for the Paley problem in plurisubharmonic functions and extremal problems in several complex variables.
Contribution
It introduces a new conjecture with three equivalent formulations related to integral estimates and their applications in complex analysis.
Findings
Conjecture formulated in three equivalent forms
Potential implications for the Paley problem
Relevance to extremal problems for entire functions
Abstract
A conjecture concerning some pairs of interfering estimates for some integrals is formulated in three equivalent versions. Its importance for the the Paley problem for plurisubharmonic functions and for certain classes of extremal problems for entire functions of several variables is declared.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Holomorphic and Operator Theory · Meromorphic and Entire Functions