Yuan Zhang

activity

20202026

L^{p}

regularity for

\partial ˉ

on the Hartogs triangle

1 citations · 2 across the 16 of their papers we have counts for

collaborators

Showing 2022Show all

5 papers · 1 filter

math.CV2022

Sobolev regularity of the canonical solutions to $\partial ˉ$ on product domains

Yuan Zhang

Let $Ω$ be a product domain in $C^{n}, n \geq 2$ , where each slice has smooth boundary. We observe that the canonical solution operator for the $\partial ˉ$ equation on $Ω$ i…

math.CV2022

Optimal Sobolev regularity of $\partial ˉ$ on the Hartogs triangle

Yifei Pan, Yuan Zhang

In this paper, we show that for each $k \in Z^{+}, p > 4$ , there exists a solution operator $T_{k}$ to the $\partial ˉ$ problem on the Hartogs triangle that maintains t…

math.CV2022★ 1 cited

Weighted Sobolev estimates of the truncated Beurling operator

Yifei Pan, Yuan Zhang

Given a bounded planar domain $D$ with $W^{k + 1, \infty}$ boundary, $k \in Z^{+}$ , and a weight $μ \in A_{p}, 1 < p < \infty$ , we show that the corresponding truncated Beurling trans…

math.CV2022★ 1 cited

Optimal $L^{p}$ regularity for $\partial ˉ$ on the Hartogs triangle

Yuan Zhang

In this paper, we prove weighted $L^{p}$ estimates for the canonical solutions on product domains. As an application, we show that if $p \in [4, \infty)$ , the $\partial ˉ$ equation…

math.CV2022

Unique continuation for $\partial ˉ$ with square-integrable potentials

Yifei Pan, Yuan Zhang

In this paper, we investigate the unique continuation property for the inequality $∣ \partial ˉ u ∣ \leq V ∣ u ∣$ , where $u$ is a vector-valued function from a domain in $C^{n}$ …

Sobolev regularity of the canonical solutions to ∂ˉ on product domains

Optimal Sobolev regularity of ∂ˉ on the Hartogs triangle

Weighted Sobolev estimates of the truncated Beurling operator

Optimal Lp regularity for ∂ˉ on the Hartogs triangle

Unique continuation for ∂ˉ with square-integrable potentials

Sobolev regularity of the canonical solutions to $\partial ˉ$ on product domains

Optimal Sobolev regularity of $\partial ˉ$ on the Hartogs triangle

Optimal $L^{p}$ regularity for $\partial ˉ$ on the Hartogs triangle

Unique continuation for $\partial ˉ$ with square-integrable potentials