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math.CV2026
On the holomorphic differential operator
Bingyang Hu, Shuaibing Luo, Jie Xiao +1
In this paper, we obtain non-testing characterizations, in terms of dyadic capacity gauges, of the boundedness and compactness of the differentiation operator $$ \frac{d}{dz}:Q_K\l…
math.FA2026
Tangential boundary behavior in Hilbert spaces of analytic functions
Shuaibing Luo, Bartosz Malman
Sarason's Hilbert space version of Carathéodory-Julia Theorem connects the non-tangential boundary behavior of functions in de Branges-Rovnyak space with the existence of an…