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Mathematics

D-Index
65
Citations
14220
World Ranking
394
National Ranking
17

Overview

Dachun Yang is affiliated with Beijing Normal University in China and has contributed extensively to the field of Mathematics, with a particular focus on Applied Mathematics, Mathematical Physics, and Computational Theory and Mathematics. Their publication record includes over 570 works in Mathematics, emphasizing areas such as nonlinear partial differential equations and advanced harmonic analysis.

Their research prominently covers topics including:

  • Advanced Harmonic Analysis Research
  • Nonlinear Partial Differential Equations
  • Advanced Mathematical Physics Problems
  • Mathematical Analysis and Transform Methods
  • Advanced Banach Space Theory
  • Holomorphic and Operator Theory
  • Differential Equations and Boundary Problems

Dachun Yang has coauthored frequently with several scholars including Wen Yuan, Yangyang Zhang, Sibei Yang, and Yinqin Li.

Common venues for their publications are:

  • arXiv (Cornell University)
  • Journal of Geometric Analysis
  • Analysis and Mathematical Physics
  • Mathematische Zeitschrift
  • Calculus of Variations and Partial Differential Equations

Notable recent papers include:

  • "Weak Hardy-type spaces associated with ball quasi-Banach function spaces I: Decompositions with applications to boundedness of Calderón-Zygmund operators" (2021), published in Science China Mathematics
  • "Applications of Hardy Spaces Associated with Ball Quasi-Banach Function Spaces" (2020), published in Results in Mathematics
  • "Compactness Characterizations of Commutators on Ball Banach Function Spaces" (2021), published in Potential Analysis
  • "Littlewood-Paley Characterizations of Hardy-Type Spaces Associated with Ball Quasi-Banach Function Spaces" (2020), published in Complex Analysis and Operator Theory
  • "Intrinsic square function characterizations of Hardy spaces associated with ball quasi-Banach function spaces" (2020), published in Frontiers of Mathematics in China

Among their academic contributions are two recent books:

  • "Real-Variable Theory of Hardy Spaces Associated with Generalized Herz Spaces of Rafeiro and Samko" (2022), published by Springer Nature
  • "Selected Lectures on Functional Analysis" (2024), published by World Scientific

Best Publications

  • Morrey and Campanato Meet Besov, Lizorkin and Triebel

    Wen Yuan;Winfried Sickel;Dachun Yang

  • A Theory of Besov and Triebel-Lizorkin Spaces on Metric Measure Spaces Modeled on Carnot-Carathéodory Spaces

    Yongsheng Han;Detlef Müller;Dachun Yang

  • Littlewood–Paley characterizations for Hardy spaces on spaces of homogeneous type

    Yongsheng Han;Detlef Müller;Dachun Yang

  • Pointwise characterizations of Besov and Triebel–Lizorkin spaces and quasiconformal mappings

    Pekka Koskela;Dachun Yang;Yuan Zhou

  • A new class of function spaces connecting Triebel–Lizorkin spaces and Q spaces

    Dachun Yang;Wen Yuan

  • Boundedness of some sublinear operators on Herz spaces

    Xinwei Li;Dachun Yang

  • New Besov-type spaces and Triebel–Lizorkin-type spaces including Q spaces

    Dachun Yang;Wen Yuan

  • The weighted Herz-type Hardy space and its applications

    Shanzhen Lu;Dachun Yang

  • New Orlicz–Hardy spaces associated with divergence form elliptic operators

    Renjin Jiang;Dachun Yang

  • Hardy spaces for ball quasi-Banach function spaces

    Yoshihiro Sawano;Kwok Pun Victor Ho;Dachun Yang;Sibei Yang

  • Vector-valued singular integrals and maximal functions on spaces of homogeneous type

    Loukas Grafakos;Liguang Liu;Dachun Yang

  • Localized Hardy spaces $H^{1}$ related to admissible functions on RD-spaces and applications to Schrödinger operators

    Dachun Yang;Yuan Zhou

  • A Boundedness Criterion via Atoms for Linear Operators in Hardy Spaces

    Dachun Yang;Yuan Zhou

  • New properties of Besov and Triebel-Lizorkin spaces on RD-spaces

    Dachun Yang;Yuan Zhou

  • ORLICZ–HARDY SPACES ASSOCIATED WITH OPERATORS SATISFYING DAVIES–GAFFNEY ESTIMATES

    Renjin Jiang;Renjin Jiang;Dachun Yang;Dachun Yang

  • A new framework for generalized Besov-type and Triebel–Lizorkin-type spaces

    Yiyu Liang;Dachun Yang;Wen Yuan;Yoshihiro Sawano

  • New Characterizations of Besov-Triebel-Lizorkin-Hausdorff Spaces Including Coorbits and Wavelets

    Yiyu Liang;Yoshihiro Sawano;Tino Ullrich;Dachun Yang

  • New characterizations of Hajłasz-Sobolev spaces on metric spaces

    Dachun Yang

  • Weighted anisotropic Hardy spaces and their applications in boundedness of sublinear operators

    Marcin Bownik;Baode Li;Dachun Yang;Yuan Zhou

  • The Hardy space H-1 on non-homogeneous metric spaces

    Tuomas P. Hytönen;Dachun Yang;Dongyong Yang

Frequent Co-Authors

Wen Yuan
Wen Yuan Beijing Normal University
Winfried Sickel
Winfried Sickel Friedrich Schiller University Jena
Yoshihiro Sawano
Yoshihiro Sawano Chuo University
Loukas Grafakos
Loukas Grafakos University of Missouri
Pekka Koskela
Pekka Koskela University of Jyväskylä
Paul A. Friedman
Paul A. Friedman Mayo Clinic
Tuomas Hytönen
Tuomas Hytönen Aalto University
Nageswari Shanmugalingam
Nageswari Shanmugalingam University of Cincinnati
Guozhen Lu
Guozhen Lu University of Connecticut

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