6 papers
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…
Hardy-Littlewood type phenomena and the Girela-Peláez conjecture for the Möbius invariant Laplacian operator
Jiaolong Chen, Shaolin Chen, Hidetaka Hamada +1
The purpose of this paper is twofold. First, we investigate the Hardy-Littlewood type phenomena for Dirichlet solutions to the Möbius invariant Laplace equation on the unit ball in…
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}…
Sharp Riesz conjugate functions theorems for quasiregular mappings
Shaolin Chen, Manzi Huang, Xiantao Wang +1
One of the celebrated results by Riesz \cite{Rie} is the Riesz conjugate functions theorem for analytic functions in the complex plane . The study on the Riesz conjugat…