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math.CV2026
Sharp constant problems for harmonic mappings
Shaolin Chen, Manzi Huang, Lei Jin +1
The primary objective of this paper is to investigate sharp constant problems in harmonic Hardy spaces. We first establish a sharp asymptotic constant for a Littlewood-Paley type i…
math.CV2026
The sharp Lipschitz continuity problem with respect to the pseudo hyperbolic metric
Shaolin Chen, Hidetaka Hamada, Manzi Huang +1
The main purpose of this paper is to address an open problem posed by Huang, Rasila, and Zhu in [Anal. Math. 48(2022), 1069-1080]. We first establish a sharp Lipschitz continuity r…
math.CV2026
Some sharp Schwarz type estimates and their applications in Banach spaces
Shaolin Chen, Hidetaka Hamada, Megha Kundathil +1
The primary objective of this paper is to develop methodologies for investigating Schwarz type lemmas and to present their applications in Banach spaces. First, we improve upon the…