Fulin Yang

activity

20242026

collaborators

5 papers

math.AP2026

Higher-Order Heat Estimates and Semilinear Heat Equations on the Noncommutative Torus

Fulin Yang, Zhipeng Yang

We establish sharp higher-order heat estimates with complete bound on the noncommutative tori $\mathbb{T}_θ^{n}$ and show the optimality in the small-time order. As an applicatio…

math.FA2025

Singular value asymptotics on compact smooth Riemaniann manifolds

Fedor Sukochev, Fulin Yang, Dmitriy Zanin

Let $(X, G)$ be a $d$ -dimensional compact smooth Riemannian manifold equipped with Laplace-Beltrami operator $Δ_{G}$ , and let $Π_{X}$ be the $C^{*}$ -algebra obtained by locally t…

math.OA2024

A $C^{*}$ -Algebraic Approach To Principal Symbol Calculus On Filtered Manifolds

David Farrell, Fedor Sukochev, Fulin Yang +1

From the viewpoint of $*$ -homomorphism on $C^{*}$ -algebras, we establish the principal symbol mapping for filtered manifolds which are locally isomorphic to stratified Lie groups.…

math.FA2024

Gagliardo-Nirenberg interpolation inequality for symmetric spaces on Noncommutative torus

Fedor Sukochev, Fulin Yang, Dmitriy Zanin

Let $E (T_{θ}^{d}), F (T_{θ}^{d})$ be two symmetric operator spaces on noncommutative torus $T_{θ}^{d}$ corresponding to symmetric function spaces $E, F$ on $(0,1)…

math.CA2024

Schatten Properties of Calderón--Zygmund Singular Integral Commutator on stratified Lie groups

Ji Li, Xiao Xiong, Fulin Yang

We provide full characterisation of the Schatten properties of $[M_{b}, T]$ , the commutator of Calderón--Zygmund singular integral $T$ with symbol $b$ $(M_{b} f (x) := b (x) f (x))$ on stratif…