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The missing two-point inequality in Weissler's conjecture

Huang, Yi C. et al.
arXiv (All) · Papers
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42b3547a30classical-analysis-and-odescomplex-variablesfunctional-analysis
Weissler's conjectured characterization of complex hypercontractivity on the Hamming cube remained open in the ranges $2<p\le q<3$ and $\frac32<p\le q<2$. Ivanisvili--Nazarov established the diagonal cases. We prove the remaining strict off-diagonal cases through the corresponding two-point inequali
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