Yuanhao Yan

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math.FA2026

Closed Range and Essential Norms of Composition Operators on Weighted Dirichlet Spaces

Caixing Gu, Li He, Xiaofeng Wang +1

We study closed range and essential norms of bounded composition operators $C_{φ}$ on weighted Dirichlet spaces $D_{α}$ . For $- 1 < α < 0$ , we first consider maps whose images are…

math.FA2025

Polynomial Approximation in Higher-Order Weighted Dirichlet Spaces

Yuanhao Yan, Li He

Fejér's theorem guarantees norm convergence of Cesàro means of Taylor partial sums in the Hardy space, whereas such convergence generally fails in weighted Dirichlet-type spaces, e…