Dachun Yang
- Pointwise characterizations of Besov and Triebel–Lizorkin spaces and quasiconformal mappings
2010/10/29 by Pekka Koskela, Dachun Yang, Yuan Zhou · 12 citations
Mathematics · #Advanced Harmonic Analysis Research #Nonlinear Partial Differential Equations #Geometric Analysis and Curvature Flows
- Weak Hardy-Type Spaces Associated with Ball Quasi-Banach Function Spaces I: Decompositions with Applications to Boundedness of Calderón--Zygmund Operators
2019/05/06 by Yangyang Zhang, Songbai Wang, Zhang, Yangyang +5 · 3 citations
Mathematics · #42B20 #42B25 #42B30 (Primary) #42B35 #46E30 (Secondary) #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory
- On Function Spaces with Mixed Norms --- A Survey
2019/08/09 by Long Huang, Dachun Yang, Huang, Long +1 · 3 citations
Mathematics · #42B20 #42B25 #42B30 #42B35 #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #Functional Analysis (math.FA)
- New Characterizations of Besov-Triebel-Lizorkin-Hausdorff Spaces Including Coorbits and Wavelets
2011/03/29 by Yiyu Liang, Yoshihiro Sawano, Liang, Yiyu +7 · 2 citations
Mathematics · #42C40 (Secondary) #46E35 (Primary) 42B25 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods
- Applications of Hardy Spaces Associated with Ball Quasi-Banach Function Spaces
2019/01/17 by Fan Wang, Dachun Yang, Wang, Fan +3 · 2 citations
Mathematics · #Advanced Harmonic Analysis Research #Differential Equations and Boundary Problems #Nonlinear Partial Differential Equations
- Atomic and Littlewood-Paley Characterizations of Anisotropic Mixed-Norm Hardy Spaces and Their Applications
2018/01/18 by Long Huang, Jun Liu, Huang, Long +5 · 2 citations
Mathematics · #Advanced Harmonic Analysis Research #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods
- Riesz Transform Characterizations of Musielak-Orlicz-Hardy Spaces
2014/01/29 by Jun Cao, Der‐Chen Chang, Cao, Jun +5 · 1 citation
Mathematics · #42B30 #42B35 #46E30 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Primary: 47B06 #Secondary: 42B20
- Littlewood-Paley Characterizations of Anisotropic Hardy-Lorentz Spaces
2016/01/20 by Jun Liu, Dachun Yang, Liu, Jun +3 · 1 citation
Mathematics · #30L99 #42B35 #46E30 #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods #Primary 42B25 #Secondary 42B30
- Optimal Embeddings for Triebel-Lizorkin and Besov Spaces on Quasi-Metric Measure Spaces
2022/02/13 by Ryan Alvarado, Alvarado, Ryan, Dachun Yang +3 · 2 citations
Mathematics · #30L99 #42B35 #46E35 #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Primary 46E36 #Secondary 43A85
- A Measure Characterization of Embedding and Extension Domains for Sobolev, Triebel-Lizorkin, and Besov Spaces on Spaces of Homogeneous Type
2022/02/15 by Ryan Alvarado, Dachun Yang, Alvarado, Ryan +3 · 2 citations
Immunology and Microbiology · Mathematics · #30L99 #42B35 #46E35 #Advanced Harmonic Analysis Research #Biomarkers in Disease Mechanisms #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Partial Differential Equations #Primary 46E36 #Secondary 43A85
- Matrix-Weighted Besov-Type and Triebel--Lizorkin-Type Spaces I: Ap-Dimensions of Matrix Weights and φ-Transform Characterizations
2023/04/01 by Fan Bu, Tuomas Hytönen, Bu, Fan +5 · 2 citations
Mathematics · #42B25 #42B35 #42C40 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Primary 46E35 #Secondary 47A56
- Hardy Spaces Associated with Ball Quasi-Banach Function Spaces on Spaces of Homogeneous Type: Characterizations of Maximal Functions, Decompositions, and Dual Spaces
2021/10/06 by Xianjie Yan, Yan, Xianjie, Ziyi He +5 · 1 citation
Mathematics · #30L99 #42B35 #46E36 #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Primary 42B30 #Secondary 42B25
- Besov-Type Spaces with Variable Smoothness and Integrability
2015/03/16 by Dachun Yang, Ciqiang Zhuo, Yang, Dachun +3 · 1 citation
Mathematics · #Advanced Harmonic Analysis Research #Mathematical Analysis and Transform Methods #Advanced Mathematical Physics Problems
- Maximal Function and Riesz Transform Characterizations of Hardy Spaces Associated with Homogeneous Higher Order Elliptic Operators and Ball Quasi-Banach Function Spaces
2022/07/08 by Xiaosheng Lin, Lin, Xiaosheng, Dachun Yang +5 · 1 citation
Mathematics · #35J30 #42B35 #47B06 #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Partial Differential Equations #Primary 42B30 #Secondary 42B25
- Matrix-Weighted Besov-Type and Triebel--Lizorkin-Type Spaces II: Sharp Boundedness of Almost Diagonal Operators
2023/12/21 by Fan Bu, Tuomas Hytönen, Bu, Fan +5 · 2 citations
Mathematics · #42B25 #42B35 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Primary 46E35 #Secondary 47A56
- Hardy Spaces Associated with Non-Negative Self-Adjoint Operators and Ball Quasi-Banach Function Spaces on Doubling Metric Measure Spaces and Their Applications
2023/04/27 by Xiaosheng Lin, Lin, Xiaosheng, Dachun Yang +5 · 1 citation
Mathematics · #35J30 #35K08 #42B35 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Partial Differential Equations #Primary 42B30 #Secondary 42B25
- Real-Variable Characterizations and Their Applications of Matrix-Weighted Triebel--Lizorkin Spaces
2022/07/18 by Qi Wang, Wang, Qi, Dachun Yang +3 · 1 citation
Mathematics · #42B15 #42B35 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Primary 46E35 #Secondary 42B25
- Compactness Characterizations of Commutators on Ball Banach Function Spaces
2021/01/19 by Jin Tao, Tao, Jin, Dachun Yang +5 · 1 citation
Mathematics · #42B25 #42B30 #42B35 #46E30 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Partial Differential Equations #Primary 47B47 #Secondary 42B20
- Brezis--Seeger--Van Schaftingen--Yung-Type Characterization of Homogeneous Ball Banach Sobolev Spaces and Its Applications
2023/07/20 by Chenfeng Zhu, Zhu, Chenfeng, Dachun Yang +3 · 1 citation
Mathematics · #26D10 #42B25 #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Partial Differential Equations #Primary 46E35 #Secondary 35A23
- Poincaré inequality meets Brezis–Van Schaftingen–Yung formula on metric measure spaces
2022/07/20 by Feng Dai, Chang‐Feng Dai, Xiaosheng Lin +3 · 1 citation
Mathematics · #Advanced Harmonic Analysis Research #Nonlinear Partial Differential Equations #Advanced Mathematical Physics Problems
- Regularity of Characteristic Functions in Besov-Type and Triebel--Lizorkin-Type Spaces
2024/11/28 by Wen Yuan, Winfried Sickel, Yuan, Wen +3 · 1 citation
Mathematics · #Advanced Harmonic Analysis Research
- Weighted Global Regularity Estimates for Elliptic Problems with Robin Boundary Conditions in Lipschitz Domains
2020/03/17 by Sibei Yang, Dachun Yang, Yang, Sibei +3 · 1 citation
Mathematics · #Advanced Harmonic Analysis Research #Nonlinear Partial Differential Equations #Numerical methods in inverse problems
- Maximal Function and Atomic Characterizations of Matrix-Weighted Hardy Spaces with Their Applications to Boundedness of Calderón--Zygmund Operators
2025/01/30 by Fan Bu, Yiqun Chen, Bu, Fan +4 · 2 citations
Mathematics · #Advanced Harmonic Analysis Research #Holomorphic and Operator Theory
- Characterizations and their applications of Sobolev seminorms via lifted sharp maximal functions on complete Poincaré spaces
2026/07/24 by Feng Dai, Yinqin Li, Dachun Yang +2