Jian-Feng Zhu

activity

20192026

most citedNorm estimates of the partial derivatives for harmonic mappings and harmonic quasiregular mappings

10 citations · 19 across the 14 of their papers we have counts for

collaborators

Showing 2020Show all

5 papers · 1 filter

math.FA2020

$L^{p} \to L^{q}$ norm estimates of Cauchy transforms on the Dirichlet problem and their applications

Jian-Feng Zhu, Antti Rasila

Denote by $C^{α} (D)$ the space of the functions $f$ on t}he unit disk $D$ which are Hölder continuous with the exponent $α$ , and denote by $C^{1, α} (D)$ th…

math.CV2020

$L^{p}$ -theory for Cauchy-transform on the unit disk

David Kalaj, Petar Melentijević, Jian-Feng Zhu

Let $D$ be the unit disk and $φ \in L^{p} (D, d A)$ , where $1 \leq p \leq \infty$ . For $z \in D$ , the Cauchy-transform on $D$ , denote by $\mathca…

math.CV2020★ 9 cited

Norm estimates of the Cauchy transform and related operators

Jian-Feng Zhu, David Kalaj

Suppose $f \in L^{p} (D)$ , where $p \geq 1$ and $D$ is the unit disk. Let $J_{0}$ be the integral operator defined as follows: $\mathfrak{J}_0[f](z)=\int_{\mat…

math.CV2020

Boundary Schwarz lemma for harmonic mappings having zero of order $p$

Xiao-Jin Bai, Jie Huang, Jian-Feng Zhu

Suppose $w$ is a sense-preserving harmonic mapping of the unit disk $D$ such that $w (D) \subseteq D$ and $w$ has a zero of order $p \geq 1$ at $z = 0$ . In this…

math.CV2020★ 10 cited

Norm estimates of the partial derivatives for harmonic mappings and harmonic quasiregular mappings

Jian-Feng Zhu

Suppose $p \geq 1$ , $w = P [F]$ is a harmonic mapping of the unit disk $D$ satisfying $F$ is absolutely continuous and $F ˙ \in L^{p} (0, 2 π)$ , where $\dot{F}(e^{it})=\frac{\ma…

Lp→Lq norm estimates of Cauchy transforms on the Dirichlet problem and their applications

Lp-theory for Cauchy-transform on the unit disk

Norm estimates of the Cauchy transform and related operators

Boundary Schwarz lemma for harmonic mappings having zero of order p

Norm estimates of the partial derivatives for harmonic mappings and harmonic quasiregular mappings

$L^{p} \to L^{q}$ norm estimates of Cauchy transforms on the Dirichlet problem and their applications

$L^{p}$ -theory for Cauchy-transform on the unit disk

Boundary Schwarz lemma for harmonic mappings having zero of order $p$