Ziming Shi

activity

20192024

most citedNew Estimates of Rychkov's Universal Extension Operator for Lipschitz Domains and Some Applications

8 citations · 10 across the 8 of their papers we have counts for

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Showing 2021Show all

3 papers · 1 filter

math.CV2021

A Solution Operator for the $\partial$ Equation in Sobolev Spaces of Negative Index

Ziming Shi, Liding Yao

Let $Ω$ be a strictly pseudoconvex domain in $C^{n}$ with $C^{k + 2}$ boundary, $k \geq 1$ . We construct a $\partial$ solution operator (depending on $k$ ) that gains…

math.CA2021★ 8 cited

New Estimates of Rychkov's Universal Extension Operator for Lipschitz Domains and Some Applications

Ziming Shi, Liding Yao

Given a bounded Lipschitz domain $Ω \subset R^{n}$ , Rychkov showed that there is a linear extension operator $E$ for $Ω$ which is bounded in Besov and Triebel-Lizorkin…

math.CV2021★ 2 cited

Sobolev $\frac{1}{2}$ estimates for $\partial$ equations on strictly pseudoconvex domains with $C^{2}$ boundary

Ziming Shi, Liding Yao

We construct a solution operator for $\partial$ equation that gains $\frac{1}{2}$ derivative in the fractional Sobolev space $H^{s, p}$ on bounded strictly pseudoconvex d…

A Solution Operator for the ∂ Equation in Sobolev Spaces of Negative Index

New Estimates of Rychkov's Universal Extension Operator for Lipschitz Domains and Some Applications

Sobolev 21​ estimates for ∂ equations on strictly pseudoconvex domains with C2 boundary

A Solution Operator for the $\partial$ Equation in Sobolev Spaces of Negative Index

Sobolev $\frac{1}{2}$ estimates for $\partial$ equations on strictly pseudoconvex domains with $C^{2}$ boundary