Yuanqi Sang

activity

20202026

collaborators

3 papers

math.FA2026

Brown-Halmos type theorems for generalized Cauchy singular integral operators and applications

Yuanqi Sang, Liankuo Zhao

We investigate the commutativity and semi-commutativity of generalized singular integral operators of the form $P_{+} f P_{+} + P_{-} g P_{+} + P_{+} u P_{-} + P_{-} v P_{-}$ on $L…

math.FA2022

Algebras of Generalized Singular Integral Operators with Cauchy kernel

Yuanqi Sang

For bounded Lebesgue measurable functions $f, g, ϕ$ and $ψ$ on the unit circle, $P_{+} f P_{+} + P_{-} g P_{+} + P_{+} ϕ P_{-} + P_{-} ψ P_{-}$ is called a generalized singular integral operator…

math.FA2020

Projections in Toeplitz algebra

Hui Dan, Xuanhao Ding, Kunyu Guo +1

Motivated by Barr{\'ı}a-Halmos's \cite[Question 19]{barria1982asymptotic} and Halmos's \cite[Problem 237]{Halmos1978A}, we explore projections in Toeplitz algebra on the Hardy spac…