Search Results - "Yao, Liding"

Some Intrinsic Characterizations of Besov–Triebel–Lizorkin–Morrey–Type Spaces on Lipschitz Domains by Yao, Liding

“…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 uqp s on a special…”
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The Frobenius Theorem for Log-Lipschitz Subbundles by Yao, Liding

“…We extend the definition of involutivity to non-Lipschitz tangent subbundles using generalized functions. We prove the Frobenius Theorem with sharp regularity…”
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Correction: The Frobenius Theorem for Log-Lipschitz Subbundles by Yao, Liding

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Rib fracture detection system based on deep learning by Yao, Liding, Guan, Xiaojun, Song, Xiaowei, Tan, Yanbin, Wang, Chun, Jin, Chaohui, Chen, Ming, Wang, Huogen, Zhang, Minming

“…Rib fracture detection is time-consuming and demanding work for radiologists. This study aimed to introduce a novel rib fracture detection system based on deep…”
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Quantitative and semi-quantitative CT assessments of lung lesion burden in COVID-19 pneumonia by Guan, Xiaojun, Yao, Liding, Tan, Yanbin, Shen, Zhujing, Zheng, Hanpeng, Zhou, Haisheng, Gao, Yuantong, Li, Yongchou, Ji, Wenbin, Zhang, Huangqi, Wang, Jun, Zhang, Minming, Xu, Xiaojun

“…This study aimed to clarify and provide clinical evidence for which computed tomography (CT) assessment method can more appropriately reflect lung lesion…”
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Sobolev and Hölder estimates for homotopy operators of the ∂‾-equation on convex domains of finite multitype by Yao, Liding

“…We construct homotopy formulas for the ∂‾-equation on convex domains of finite type that have optimal Sobolev and Hölder estimates. For a bounded smooth finite…”
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Improving the regularity of vector fields by Street, Brian, Yao, Liding

“…Let α>0, β>α, and let X1,…,Xq be Clocα vector fields on a Cα+1 manifold which span the tangent space at every point, where Cs denotes the Zygmund-Hölder space…”
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New estimates of Rychkov's universal extension operator for Lipschitz domains and some applications by Shi, Ziming, Yao, Liding

“…Given a bounded Lipschitz domain Ω⊂Rn$\Omega \subset \mathbb {R}^n$, Rychkov showed that there is a linear extension operator E$\mathcal {E}$ for Ω$\Omega$,…”
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On Seeley‐type universal extension operators for the upper half space by Lu, Haowen, Yao, Liding

“…Modified from the standard half‐space extension via the reflection principle, we construct a linear extension operator for the upper half space R+n$\mathbb…”
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On Rough Frobenius-Type Theorems and Their Hölder Estimates by Yao, Liding

“…This thesis is dedicated to giving several results on Frobenius-type theorems in non-smooth settings, and giving H\"older regularity estimates for the…”
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A linear operator bounded in all Besov but not in Triebel-Lizorkin spaces by Yao, Liding

“…We construct a linear operator $T:\mathscr S'(\mathbb R^n)\to \mathscr S'(\mathbb R^n)$ such that $T:\mathscr B_{pq}^s(\mathbb R^n)\to\mathscr B_{pq}^s(\mathbb…”
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Some Intrinsic Characterizations of Besov-Triebel-Lizorkin-Morrey-type Spaces on Lipschitz Domains by Yao, Liding

“…J. Fourier Anal. Appl. 29 (2023), no. 2, Paper No. 24, 21 pp. MR 4575470 We give Littlewood-Paley type characterizations for Besov-Triebel-Lizorkin-type spaces…”
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The Frobenius Theorem for Log-Lipschitz Subbundles by Yao, Liding

“…J. Geom. Anal. 33 (2023), no. 7, Paper No. 198, 49 pp We extend the definition of involutivity to non-Lipschitz tangent subbundles using generalized functions…”
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Sobolev and H\"older Estimates for Homotopy Operators of The $\overline\partial$-Equation on Convex Domains of Finite Multitype by Yao, Liding

“…J. Math. Anal. Appl. 538 (2024), no.2, Paper No. 128238, 41 pp. MR4739361 We construct homotopy formulas for the $\overline\partial$-equation on convex domains…”
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On Rough Frobenius-type Theorems and Their H\"older Estimates by Yao, Liding

“…ISBN: 979-8841-74236-4, ProQuest document ID 2714150064, 2022 The thesis studies Frobenius-type theorems in non-smooth settings. We extend the definition of…”
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Sharp H\"older Regularity for Nirenberg's Complex Frobenius Theorem by Yao, Liding

“…Nirenberg's famous complex Frobenius theorem gives necessary and sufficient conditions on a locally integrable structure for when the manifold is locally…”
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New Estimates of Rychkov's Universal Extension Operator for Lipschitz Domains and Some Applications by Shi, Ziming, Yao, Liding

“…Math. Nachr. 297 (2024) no. 4, 1407-1443 Given a bounded Lipschitz domain $\Omega\subset\mathbb R^n$, Rychkov showed that there is a linear extension operator…”
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A Counterexample to $C^k$-regularity for the Newlander-Nirenberg Theorem by Yao, Liding

“…We give an example of $C^k$-integrable almost complex structure that does not admit a corresponding $C^{k+1}$-complex coordinate system…”
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On Seeley-type Universal Extension Operators for the Upper Half Space by Lu, Haowen, Yao, Liding

“…Math. Nachr. 297 (2024), no. 3, 811-832, 22 pp. MR 4720186 Modified from the standard half-space extension via reflection principle, we construct a linear…”
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Improving the Regularity of Vector Fields by Street, Brian, Yao, Liding

“…Let $\alpha>0$, $\beta>\alpha$, and let $X_1,\ldots, X_q$ be $\mathscr{C}^{\alpha}_{\mathrm{loc}}$ vector fields on a $\mathscr{C}^{\alpha+1}$ manifold which…”
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