Refining Image Edge Detection via Linear Canonical Riesz Transforms

Authors: Yang, Shuhui, Fu, Zunwei, Yang, Dachun, Lin, Yan, Li, Zhen

Subject Terms: Mathematics - Functional Analysis, Primary 42B20, Secondary 42B35, 42A38, 94A08

Access URL: http://arxiv.org/abs/2503.11148

Maximal Function and Atomic Characterizations of Matrix-Weighted Hardy Spaces with Their Applications to Boundedness of Calder\'on--Zygmund Operators

Authors: Bu, Fan, Chen, Yiqun, Yang, Dachun, Yuan, Wen

Subject Terms: Mathematics - Functional Analysis, Mathematics - Analysis of PDEs, Mathematics - Classical Analysis and ODEs, Primary 42B30, Secondary 42B25, 42B20, 42B35, 46E40, 47A56

Access URL: http://arxiv.org/abs/2501.18800

Self-improving properties of weighted norm inequalities on metric measure spaces

Authors: Kinnunen, Juha, Lehrbäck, Juha, Vähäkangas, Antti V., Yang, Dachun

Subject Terms: Mathematics - Classical Analysis and ODEs, Mathematics - Analysis of PDEs, 42B25, 42B35, 46E30, 30L99

Access URL: http://arxiv.org/abs/2501.17651

Besov--Triebel--Lizorkin-Type Spaces with Matrix $A_\infty$ Weights

Authors: Bu, Fan, Hytönen, Tuomas, Yang, Dachun, Yuan, Wen

Subject Terms: Mathematics - Functional Analysis, Mathematics - Analysis of PDEs, Mathematics - Classical Analysis and ODEs, Primary 46E35, Secondary 47A56, 42B25, 42B20, 42C40, 35S05, 42B35

Access URL: http://arxiv.org/abs/2501.03050

Distributed Operation Optimization of Active Distribution Network via a Sparse Communication Topology

Authors: Song, Tianhao, Tian, Hao, Zhao, Xingquan, Yang, Dachun, Liu, Lei, Guo, Qing, Bai, Chenhao

Source: 2024 China International Conference on Electricity Distribution (CICED) Electricity Distribution (CICED), 2024 China International Conference on. :673-678 Sep, 2024

Relation: 2024 China International Conference on Electricity Distribution (CICED)

Regularity of Characteristic Functions in Besov-Type and Triebel--Lizorkin-Type Spaces

Authors: Yuan, Wen, Sickel, Winfried, Yang, Dachun

Subject Terms: Mathematics - Functional Analysis, Mathematics - Analysis of PDEs, Mathematics - Classical Analysis and ODEs, Primary 46E35, Secondary 42C15

Access URL: http://arxiv.org/abs/2411.19153

Parabolic Muckenhoupt Weights Characterized by Parabolic Fractional Maximal and Integral Operators with Time Lag

Authors: Kong, Weiyi, Yang, Dachun, Yuan, Wen, Zhu, Chenfeng

Subject Terms: Mathematics - Analysis of PDEs, Mathematics - Classical Analysis and ODEs, Mathematics - Functional Analysis, Primary 42B20, Secondary 47A30, 42B25, 42B35, 42B37, 35K05

Access URL: http://arxiv.org/abs/2410.04483

Global BMO-Sobolev Estimates for Second-Order Linear Elliptic Equations on Lipschitz Domains

Authors: Dong, Hongjie, Yang, Dachun, Yang, Sibei

Subject Terms: Mathematics - Analysis of PDEs, Mathematics - Functional Analysis, 35J25 35B45

Access URL: http://arxiv.org/abs/2409.19498

Muckenhoupt Weights Meet Brezis--Seeger--Van Schaftingen--Yung Formulae in Ball Banach Function Spaces

Authors: Li, Yinqin, Yang, Dachun, Yuan, Wen, Zhang, Yangyang, Zhao, Yirui

Subject Terms: Mathematics - Classical Analysis and ODEs, Mathematics - Analysis of PDEs, Mathematics - Functional Analysis, Primary 46E35, Secondary 26D10, 42B25, 26A33, 35A23

Access URL: http://arxiv.org/abs/2405.19790

New approach to affine Moser-Trudinger inequalities via Besov polar projection bodies

Authors: Dominguez, Oscar, Li, Yinqin, Tikhonov, Sergey, Yang, Dachun, Yuan, Wen

Subject Terms: Mathematics - Metric Geometry, Mathematics - Functional Analysis

Access URL: http://arxiv.org/abs/2405.07329

Matrix-Weighted Besov-Type and Triebel--Lizorkin-Type Spaces III: Characterizations of Molecules and Wavelets, Trace Theorems, and Boundedness of Pseudo-Differential Operators and Calder\'on--Zygmund Operators

Authors: Bu, Fan, Hytönen, Tuomas, Yang, Dachun, Yuan, Wen

Subject Terms: Mathematics - Functional Analysis, Mathematics - Analysis of PDEs, Mathematics - Classical Analysis and ODEs, Primary 46E35, Secondary 47A56, 42B25, 42B20, 42C40, 35S05, 42B35

Access URL: http://arxiv.org/abs/2312.13549

Matrix-Weighted Besov-Type and Triebel--Lizorkin-Type Spaces II: Sharp Boundedness of Almost Diagonal Operators

Authors: Bu, Fan, Hytönen, Tuomas, Yang, Dachun, Yuan, Wen

Subject Terms: Mathematics - Functional Analysis, Mathematics - Analysis of PDEs, Mathematics - Classical Analysis and ODEs, Primary 46E35, Secondary 47A56, 42B25, 42B35

Access URL: http://arxiv.org/abs/2312.13548

Sharp Poincar\'e--Sobolev Inequalities of Choquet--Lorentz Integrals with Respect to Hausdorff Contents on Bounded John Domains

Authors: Huang, Long, Cao, Yuanshou, Yang, Dachun, Zhuo, Ciqiang

Subject Terms: Mathematics - Functional Analysis, Mathematics - Analysis of PDEs, Mathematics - Classical Analysis and ODEs

Access URL: http://arxiv.org/abs/2311.15224

New Characterizations and Properties of Matrix $A_\infty$ Weights

Authors: Bu, Fan, Hytönen, Tuomas, Yang, Dachun, Yuan, Wen

Subject Terms: Mathematics - Functional Analysis, Primary 46E30, Secondary 47A56, 15A15, 42B35

Access URL: http://arxiv.org/abs/2311.05974

Parabolic John-Nirenberg spaces with time lag

Authors: Myyryläinen, Kim, Yang, Dachun

Subject Terms: Mathematics - Classical Analysis and ODEs, Mathematics - Analysis of PDEs, Mathematics - Functional Analysis, 42B35

Access URL: http://arxiv.org/abs/2310.00959

A unified approach to self-improving property via K-functionals

Authors: Dominguez, Oscar, Li, Yinqin, Tikhonov, Sergey, Yang, Dachun, Yuan, Wen

Subject Terms: Mathematics - Functional Analysis, Mathematics - Classical Analysis and ODEs

Access URL: http://arxiv.org/abs/2309.02597

Extension Theorem and Bourgain--Brezis--Mironescu-Type Characterization of Ball Banach Sobolev Spaces on Domains

Authors: Zhu, Chenfeng, Yang, Dachun, Yuan, Wen

Subject Terms: Mathematics - Functional Analysis, Mathematics - Analysis of PDEs, Mathematics - Classical Analysis and ODEs, Primary 46E35, Secondary 35A23, 42B25, 26D10

Access URL: http://arxiv.org/abs/2307.11392

Brezis--Seeger--Van Schaftingen--Yung-Type Characterization of Homogeneous Ball Banach Sobolev Spaces and Its Applications

Authors: Zhu, Chenfeng, Yang, Dachun, Yuan, Wen

Subject Terms: Mathematics - Functional Analysis, Mathematics - Analysis of PDEs, Mathematics - Classical Analysis and ODEs, Primary 46E35, Secondary 35A23, 42B25, 26D10

Access URL: http://arxiv.org/abs/2307.10528

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