On the Bellman function of Nazarov, Treil and Volberg
Rodrigo Banuelos, Adam Osekowski
TL;DR
This paper provides an explicit formula for the Bellman function linked to the dual bound of the unconditional constant of the Haar system, advancing understanding in harmonic analysis.
Contribution
It introduces a new explicit formula for the Bellman function associated with the Haar system's unconditional constant.
Findings
Derived an explicit Bellman function formula.
Enhanced understanding of bounds in harmonic analysis.
Potential applications in related inequalities.
Abstract
We give an explicit formula for the Bellman function associated with the dual bound related to the unconditional constant of the Haar system.
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Taxonomy
Topicsadvanced mathematical theories · Spectral Theory in Mathematical Physics · Advanced Harmonic Analysis Research