Liding Yao

activity

20202025

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

8 citations · 23 across the 14 of their papers we have counts for

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Showing 2021Show all

5 papers · 1 filter

math.FA2021★ 6 cited

Some Intrinsic Characterizations of Besov-Triebel-Lizorkin-Morrey-type Spaces on Lipschitz Domains

Liding Yao

We give Littlewood-Paley type characterizations for Besov-Triebel-Lizorkin-type spaces $B_{pq}^{s τ}, F_{pq}^{s τ}$ and Besov-Morrey spaces $N_{u q p}^{s}$ on a…

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…

math.CA2021★ 1 cited

Improving the Regularity of Vector Fields

Brian Street, Liding Yao

Let $α > 0$ , $β > α$ , and let $X_{1}, \dots, X_{q}$ be $C_{loc}^{α}$ vector fields on a $C^{α + 1}$ manifold which span the tangent space at every point, where $\m…

Some Intrinsic Characterizations of Besov-Triebel-Lizorkin-Morrey-type Spaces on Lipschitz Domains

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

Improving the Regularity of Vector Fields

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