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Lower bounds for the weak-type constants of the operators $Λ_m$

Strzelecki, Michał
arXiv (OAI Expanded) · Papers
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classical-analysis-and-odesfunctional-analysis
The operators $Λ_m$ ($m\in\mathbb{N}\cup \{0\}$) arise when one studies the action of the Beurling-Ahlfors transform on certain radial function subspaces. It is known that the weak-type $(1,1)$ constant of $Λ_0$ is equal to $1/\ln(2)\approx 1.44$. We construct examples showing that the weak-type $(1
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