Yi-Cen Ma

collaborators

Showing math.FAShow all

3 papers · 1 filter

math.FA2026

A proof of the Fong--Tsui conjecture

Mohamed Amine Aouichaoui, Fuad Kittaneh, Yicen Ma

We prove that a bounded operator $T$ on a complex Hilbert space is self-adjoint whenever $|T|\leq|\re T|$, as conjectured by Fong and Tsui \cite{FT}.

math.FA2026

A General Proof of the Fong-Tsui Conjecture

Yicen Ma

We present a general proof of the Fong-Tsui conjecture for bounded operators on arbitrary complex Hilbert spaces. Specifically, we show that $∣ T ∣ \leq ∣ Re T ∣$ implies t…

math.FA2026

Vector-Carleson, Calderón, and Poisson-Atomic Criteria for Generalized Hilbert Operators on $H^{p}$ , $p > 2$

Yicen Ma

Let $H_{g} f (z) = \int_{0}^{1} f (t) g^{'} (t z), d t$ , and let $2 < p < \infty$ . Set $t = 2 p / (p - 2)$ and $X_{j} = 2^{- j / p^{'}} Δ_{j} g^{'}$ , where $Δ_{j}$ is the hard dyadic Taylor projection. We prove that $\…

A proof of the Fong--Tsui conjecture

A General Proof of the Fong-Tsui Conjecture

Vector-Carleson, Calderón, and Poisson-Atomic Criteria for Generalized Hilbert Operators on Hp, p>2

Vector-Carleson, Calderón, and Poisson-Atomic Criteria for Generalized Hilbert Operators on $H^{p}$ , $p > 2$