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2253200028

Funded outputs count: 45
Funder award ID: 2253200028
OpenAlex ID: G5710692465
Sharp Nonlocal Poincaré Inequalities and Liminf Lower Bounds for Sobolev and BV Energies on Metric Measure Spaces
2026 · Dai, Feng, Hytönen, Tuomas P., et al. · arXiv (Cornell University)
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Sharp Quantitative Weighted Estimates for Lifted Maximal Operators with Applications
2026 · Geng, Meng, Yang, Dachun, et al. · arXiv (Cornell University)
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Endpoint Lorentz Inequality for Riesz Potentials with Respect to General Measures
2026 · Hu, Pingxu, Yang, Dachun, et al. · arXiv (Cornell University)
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LLCT: Learnable Linear Canonical Transform Family with Stability for Visual Feature Processing
2026 · Fu, Zunwei, Wang, Zhen, et al. · arXiv (Cornell University)
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Full-Range $Γ$-Convergence of Weak-Type Nonlocal Functionals
2026 · Lin, Xiaosheng, Yang, Dachun, et al. · arXiv (Cornell University) · 1
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Sharp Truncated Difference Estimates for Nonlocal Nonconvex Functionals Defined by Superlevel Sets
2026 · Dai, Feng, Yang, Dachun, et al. · arXiv (Cornell University) · 1
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Matrix-Weighted Variable Besov Spaces
2026 · Dachun Yang, Wen Yuan, et al. · Communications in Mathematics and Statistics · 5
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Sharp Quantitative Matrix-Weighted Bounds for Fractional Integrals and Sobolev Inequalities
2026 · Yang, Dachun, Yuan, Wen, et al. · arXiv (Cornell University) · 1
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Sharp Matrix-Weighted Lower Bounds for Non-Degenerate Convolution Calderón--Zygmund Operators
2026 · Bu, Fan, Yang, Dachun, et al. · arXiv (Cornell University) · 1
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Equivalent characterizations and their applications of solvability of $$L^p$$ Poisson–Robin(-regularity) problems on rough domains
2026 · Xuelian Fu, Dachun Yang, et al. · Calculus of Variations and Partial Differential Equations · 2
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Local Matrix Muckenhoupt Weights and Quantitative Weighted Inequalities Achieving Global Best Known Exponents
2026 · Hytönen, Tuomas, Yang, Dachun, et al. · arXiv (Cornell University) · 2
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Variable Muckenhoupt $$A_{\infty }$$ Weights
2026 · Dachun Yang, Wen Yuan, et al. · Potential Analysis · 1
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Hardy--Littlewood Maximal Operator and Two-Layer Muckenhoupt Weights on Infinite Rooted $k$-Ary Trees
2026 · Yang, Dachun, Yuan, Wen, et al. · arXiv (Cornell University) · 1
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Maz'ya–Shaposhnikova representation of quasi-norms of ball quasi-Banach function spaces on spaces of homogeneous type with weak reverse doubling property
2026 · Eiichi Nakai, Menghao Tang, et al. · Bulletin des Sciences Mathématiques · 3
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Capacitary Trapping and Brownian Escape: A Sharp Hardy Principle for Absorbing Media
2026 · Chen, Yiqun, Xiao, Jie, et al. · arXiv (Cornell University)
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Matrix-Weighted Poincaré-Type Inequalities with Applications to Logarithmic Hajłasz–Besov Spaces on Spaces of Homogeneous Type
2026 · Ziwei Li, Dachun Yang, et al. · Constructive Approximation · 5
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Weak-type characterizations of Sobolev and bounded variation spaces on metric measure spaces
2026 · Hytönen, Tuomas P., Yang, Dachun, et al. · arXiv (Cornell University) · 5
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Homogeneous Besov–Triebel–Lizorkin type spaces based on ball quasi-Banach function sequence spaces
2026 · Jingsong Sun, Dachun Yang, et al. · Banach Journal of Mathematical Analysis
$Γ$-Convergence of Weak-Type Nonlocal Functionals on Bounded Domains
2026 · Lin, Xiaosheng, Yang, Dachun, et al. · arXiv (Cornell University) · 4
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Real-Variable Characterizations and Their Applications of Anisotropic Besov Spaces with Matrix $\mathcal A_\infty$ Weights
2026 · Bu, Fan, Feng, Shuaijun, et al. · arXiv (Cornell University) · 1
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On Two Questions by Brezis et al Concerning the Critical Difference Quotient Characterization of First-Order Sobolev Spaces
2026 · Chen, Yiqun, Yang, Dachun, et al. · arXiv (Cornell University)
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A Sharp Planar Fractional Isoperimetric Inequality
2026 · Lin, Xiaosheng, Yang, Dachun, et al. · arXiv (Cornell University)
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A Solution of Problem 2.5 by Brezis on the Planar Ginzburg--Landau Equation
2026 · Lin, Xiaosheng, Yang, Dachun, et al. · arXiv (Cornell University) · 1
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Fractional Gagliardo--Nirenberg Inequalities: Pointwise Estimates,Sharp Asymptotics, and Optimal Target Spaces
2026 · Hu, Pingxu, Li, Yinqin, et al. · arXiv (Cornell University)
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Limit properties at critical indices of linear canonical Riesz potentials and their applications to security of multi-image encryption
2026 · Zunwei Fu, Dachun Yang, et al. · Applied and Computational Harmonic Analysis
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