Yi C. Huang

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math.FA2026

The missing two-point inequality in Weissler's conjecture

Yi C. Huang, Paata Ivanisvili

Weissler's conjectured characterization of complex hypercontractivity on the Hamming cube remained open in the ranges $2 < p \leq q < 3$ and $\frac{3}{2} < p \leq q < 2$ . Ivanisvili--Nazarov estab…

math.FA2023

On Landau-Kato inequalities via semigroup orbits

Yi C. Huang, Yanlu Lian, Fei Xue

Let $ω > 0$ . Given a strongly continuous semigroup ${e^{t A}}$ on a Banach space and an element $f \in D (A^{2})$ satisfying the exponential orbital estimates $$\|e^{tA}f\|\leq…

math.FA2023

The forward maximal regularity operator commutes with the backward

Yi C. Huang

Given a generator of a bounded analytic semigroup on a Hilbert space, we show that the corresponding forward maximal regularity operator commutes with the backward. In particular,…