Liding Yao
Mathematics · The Ohio State University
Publications
28
Citations
34
Est. group size
—
Recurring co-author estimate
Active years
7
Publishing since 2020
Liding Yao works in mathematical analysis, focusing on how functions and operators behave in specialized settings such as Sobolev, Besov, and Triebel-Lizorkin spaces (frameworks for measuring the smoothness of functions). Much of the work deals with solving the so-called dbar (∂̄) equation, a fundamental equation in complex analysis, and understanding regularity (smoothness) properties on complicated geometric domains. This research is theoretical and connects harmonic analysis, partial differential equations, and complex geometry.
Publication output grew from none in the late 2010s to a steady pace of about 4-6 papers per year since 2021, indicating consistent and active recent research.
Generated by claude-sonnet-5 from public bibliographic data · Jul 20, 2026
- A Bourgain-Gromov Problem on Non-Compact Sobolev-Lorentz Embeddings
Constructive Approximation · 2026
- A linear operator bounded in all Besov but not in Triebel-Lizorkin spaces
Proceedings of the American Mathematical Society · 2026
- Sobolev [inline-graphic 01] estimate for the [inline-graphic 02] equation on strictly pseudoconvex domains with C 2 boundary
American Journal of Mathematics · 2025
- Standard b-value DWI-derived stiffness index analysis may provide a way to evaluate the development of intracerebral hematoma
Frontiers in Neurology · 2025
- A Bourgain-Gromov problem on non-compact Sobolev-Lorentz embeddings
arXiv (Cornell University) · 2025
- On $\overline\partial$ homotopy formulae for product domains: Nijenhuis-Woolf's formulae and optimal Sobolev estimates
arXiv (Cornell University) · 2025
- Sobolev and Hölder estimates for homotopy operators of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mover accent="true"><mml:mrow><mml:mo>∂</mml:mo></mml:mrow><mml:mo>‾</mml:mo></mml:mover></mml:math>-equation on convex domains of finite multitype
Journal of Mathematical Analysis and Applications · 2024
- A Classification Theorem on Non-compact Embeddings between Besov Spaces
arXiv (Cornell University) · 2024
- A linear operator bounded in all Besov but not in Triebel-Lizorkin spaces
arXiv (Cornell University) · 2024
- Sharp Hölder regularity for Nirenberg’s complex Frobenius theorem
Journal d Analyse Mathématique · 2024
- A universal $\overline\partial$ solution operator on nonsmooth strongly pseudoconvex domains
arXiv (Cornell University) · 2024
- New estimates of Rychkov's universal extension operator for Lipschitz domains and some applications
Mathematische Nachrichten · 2023
- A solution operator for the \overline∂ equation in Sobolev spaces of negative index
Transactions of the American Mathematical Society · 2023
- Some Intrinsic Characterizations of Besov–Triebel–Lizorkin–Morrey–Type Spaces on Lipschitz Domains
Journal of Fourier Analysis and Applications · 2023
- On Seeley‐type universal extension operators for the upper half space
Mathematische Nachrichten · 2023
- arXiv (Cornell University)×14
- Mathematische Nachrichten×2
- Proceedings of the American Mathematical Society×2
- Journal of Geometric Analysis×2
- Transactions of the American Mathematical Society×1
- Rodrigo Bañuelos
Mathematics · Purdue University West Lafayette
- Ján Lang
Mathematics · The Ohio State University
- Shaoming Guo
Mathematics · Indiana University
- Shukun Wu
Mathematics · Indiana University
- Ciprian Demeter
Mathematics · Indiana University
This profile was generated automatically from public scholarly data (OpenAlex). Group size and activity levels are estimates derived from co-authorship patterns.
Last updated Jul 19, 2026.
Claim or correct this profile