4 papers · 1 filter
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…
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…
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…
Remarks on "Schwarz-type lemma, Landau-type theorem, and Lipschitz-type space of solutions to inhomogeneous biharmonic equations"
Shaolin Chen, Hidetaka Hamada
Let , , , where and denote the unit disk and the unit circle, respectively. Suppose that $f\in C^{4}…