Yu Tao

ORCID: 0000-0001-7144-5670
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About
Contact & Profiles
Research Areas
  • Holomorphic and Operator Theory
  • Algebraic and Geometric Analysis
  • Analytic and geometric function theory
  • Advanced Topics in Algebra
  • Advanced Harmonic Analysis Research
  • Spectral Theory in Mathematical Physics
  • Meromorphic and Entire Functions
  • Rings, Modules, and Algebras
  • Advanced Algebra and Geometry
  • Geometry and complex manifolds
  • Powder Metallurgy Techniques and Materials
  • Educational Technology and Pedagogy
  • Machine Fault Diagnosis Techniques
  • Image and Signal Denoising Methods
  • Matrix Theory and Algorithms
  • Differential Equations and Boundary Problems
  • Advanced Banach Space Theory
  • Geometric Analysis and Curvature Flows
  • Advanced Decision-Making Techniques
  • Educational Technology and Assessment
  • Blind Source Separation Techniques
  • Cholinesterase and Neurodegenerative Diseases
  • Electrokinetic Soil Remediation Techniques
  • Diverse Approaches in Healthcare and Education Studies
  • Point processes and geometric inequalities

Dalian University of Technology
2016-2024

Sichuan Agricultural University
2024

Chuzhou University
2024

University of Science and Technology Liaoning
2014-2019

Sichuan University
2019

Zhejiang Normal University
2005-2014

Jinggangshan University
2014

University of Science and Technology Beijing
2013

Harbin Engineering University
2004-2012

Zhangzhou Normal University
2011

10.1007/s43037-025-00414-9 article EN Banach Journal of Mathematical Analysis 2025-02-24

The black hole (BH) algorithm is a new type of natural heuristic inspired by the movement law "black hole" celestial body in universe. BH has received extensive attention due to its advantages such as fewer parameters, simple structure and strong exploitation. For shortcomings poor exploaration premature convergence algorithm, improved golden sine (G-S) operator introduced into greatly improve exploaration. Then Levy flight with controlled step size become better local search from global...

10.1109/access.2019.2951716 article EN cc-by IEEE Access 2019-01-01

10.1007/s00020-010-1754-2 article EN Integral Equations and Operator Theory 2010-04-19

10.1007/s10114-008-7109-0 article EN Acta Mathematica Sinica English Series 2009-01-15

10.1016/j.jmaa.2009.04.019 article EN publisher-specific-oa Journal of Mathematical Analysis and Applications 2009-04-18

10.1007/s11425-011-4259-9 article EN Science China Mathematics 2011-07-25

10.1007/s10114-016-5779-6 article EN Acta Mathematica Sinica English Series 2016-09-21

We consider the reducibility and unitary equivalence of multiplication operators on Dirichlet space. first characterize a operator induced by finite Blaschke product and, as an application, we show that multiplica

10.4064/sm220-2-3 article EN Studia Mathematica 2014-01-01

We define the dual truncated Toeplitz operators and give some basic properties of them. In particular, spectrum reducing subspaces special operator are characterized.

10.1155/2018/7058401 article EN cc-by Journal of Function Spaces 2018-06-03

10.1007/s10114-016-5663-4 article EN Acta Mathematica Sinica English Series 2016-08-15

10.1007/s10114-020-9347-8 article EN Acta Mathematica Sinica English Series 2020-07-30

10.21136/cmj.2024.0066-23 article EN Czechoslovak Mathematical Journal 2024-02-08

In this paper, we establish new normal scalar curvature inequalities on a class of austere submanifolds by proving sharper DDVV-type associated subspaces. We also provide some examples in and point out one them achieves the equality our inequality everywhere. As byproduct, obtain Simons-type gap theorem for closed unit spheres which belong to that class.

10.48550/arxiv.2410.17761 preprint EN arXiv (Cornell University) 2024-10-23

For compact submanifolds in Euclidean and Spherical space forms with Ricci curvature bounded below by a function $\alpha(n,k,H,c)$ of mean curvature, we prove that the submanifold is either isometric to Einstein Clifford torus, or topological sphere for maximal bound $\alpha(n,[\frac{n}{2}],H,c)$, has up $k$-th homology groups vanishing. This gives an almost complete (except differentiable theorem) characterization pinched generalizing celebrated rigidity results obtained Ejiri, Xu-Tian,...

10.48550/arxiv.2411.14112 preprint EN arXiv (Cornell University) 2024-11-21

The color landscape is an essential aspect of each village, representing both natural scenery and human history. However, previous research has not provided a thorough quantitative assessment the spatial pattern regions their surroundings. In this study, patches were extracted from 3D real scene models, indices used to quantify pattern. A questionnaire was utilized establish association between Scenic Beauty Estimation (SBE) scores, which then predict SBE without need for another...

10.5311/josis.2024.29.363 article EN cc-by Journal of Spatial Information Science 2024-12-26

We show that a bounded linear operator $S$ on the weighted Bergman space $A^1(\psi )$ is compact and predual $A_0(\varphi of invariant under $S^\ast $ if only $Sk_z \rightarrow 0$ as $z\rightarrow \partial D$, where $k_

10.4064/sm177-3-6 article EN Studia Mathematica 2006-01-01

In this paper, we obtain several sufficient and necessary conditions for a finite sum of Toeplitz products with form $\sum_{m=1}^{M}T_{f_{m}}T_{g_{m}}$ on the Hardy space over polydisk to be zero. The methods used in note are Berezin transform essential fiber dimension.

10.1215/ijm/1520046217 article EN Illinois Journal of Mathematics 2017-01-01
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