Sharp Complex Convexity Estimates
Alexander Lindenberger, Paul F. X. M\"uller, Michael, Schmuckenschl\"ager
TL;DR
This paper determines the optimal constants in 2-uniform PL-convexity estimates for complex spaces, resolving a longstanding open problem in the field.
Contribution
It provides the exact values of the best constants in complex 2-uniform PL-convexity estimates, answering a question posed by prominent researchers.
Findings
Exact values of the best constants in 2-uniform PL-convexity for complex spaces
Resolution of a problem posed by Davis, Garling, and Tomczak-Jaegermann
Advancement in understanding complex convexity properties
Abstract
In this paper we determine the value of the best constants in the 2-uniform PL-convexity estimates of . This solves a problem posed by W. J. Davis, D. J. H. Garling and N. Tomczak-Jaegermann.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Advanced Banach Space Theory · Mathematical Analysis and Transform Methods