dr hab. Dariusz Kosz

adres: e-mail: CV:

Wybrzeże Wyspiańskiego 27 50-370 Wrocław budynek C-19, pokój A.2.12 dariusz.kosz@pwr.edu.pl EN, PL

Konsultacje i Dydaktyka – semestr zimowy 2024/2025

Publications and preprints

• On differentiation of integrals in Lebesgue spaces
  Preprint, arXiv
  with Marco Fraccaroli, Luz Roncal
  Funding: National Science Centre of Poland (SONATA BIS 2022/46/E/ST1/00036).
  
  
• The multilinear circle method and a question of Bergelson
  Preprint, arXiv
  with Mariusz Mirek, Sarah Peluse, Renhui Wan, James Wright
  Funding: Basque Government (BERC 2022-2025), Spanish State Research Agency (CEX2021-001142-S), National Science Centre of Poland (SONATA BIS 2022/46/E/ST1/00036).
  
  
• Polynomial ergodic theorems in the spirit of Dunford and Zygmund
  Preprint, arXiv
  with Bartosz Langowski, Mariusz Mirek, Paweł Plewa
  Funding: Basque Government (BERC 2022-2025), Spanish State Research Agency (CEX2021-001142-S and RYC2021-031981-I), Foundation for Polish Science (START 032.2022).
  
  
• Variation of the one-dimensional centered maximal operator on simple functions with gaps between pieces
  Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, 2025, link, arXiv
  with Paul Hagelstein, Krzysztof Stempak
  Funding: National Science Centre of Poland (SONATA BIS 2022/46/E/ST1/00036).
  
  
• The maximal function of the Devil's staircase is absolutely continuous
  Journal of Geometric Analysis, 2024, link, arXiv
  with Cristian González-Riquelme
  Funding: Basque Government (BERC 2022-2025), Spanish State Research Agency (CEX2021-001142-S and RYC2021-031981-I), Foundation for Polish Science (START 032.2022).
  
  
• Sharp constants in inequalities admitting the Calderón transference principle
  Ergodic Theory and Dynamical Systems, 2023, link, arXiv
  Funding: Basque Government (BERC 2022-2025), Spanish State Research Agency (CEX2021-001142-S and RYC2021-031981-I), Foundation for Polish Science (START 032.2022).
  
  
• Boundedness properties of maximal operators on Lorentz spaces
  Annales Fennici Mathematici, 2023, link, arXiv
  Funding: National Science Centre of Poland (2016/21/N/ST1/01496), Basque Government (BERC 2022-2025), Spanish State Research Agency (CEX2021-001142-S and RYC2021-031981-I), Foundation for Polish Science (START 032.2022).
  
  
• Weak-type maximal function estimates on the infinite-dimensional torus
  Mathematische Zeitschrift, 2023, link, arXiv
  with Guillermo Rey, Luz Roncal
  Funding: Basque Government (BERC 2022-2025), Spanish State Research Agency (CEX2021-001142-S), Foundation for Polish Science (START 032.2022).
  
  
• Sharp estimates for Jacobi heat kernels in conic domains
  Journal of Approximation Theory, 2023, link, arXiv
  with Dawid Hanrahan
  Funding: Basque Government (BERC 2022-2025), Spanish State Research Agency (CEX2021-001142-S and RYC2021-031981-I), Foundation for Polish Science (START 032.2022).
  
  
• On the doubling condition in the infinite-dimensional setting
  Bulletin of the Australian Mathematical Society, 2023, link, arXiv
  Funding: Basque Government (BERC 2022-2025), Spanish State Research Agency (SEV-2017-0718), Foundation for Polish Science (START 032.2022).
  
  
• A_∞ condition for general bases revisited: complete clasiffication of definitions
  Proceedings of the American Mathematical Society, 2022, link, arXiv
  Funding: Basque Government (BERC 2018-2021), Spanish State Research Agency (SEV-2017-0718).
  
  
• Maximal operators on the infinite-dimensional torus
  Mathematische Annalen, 2022, link, arXiv
  with Javier Martínez Perales, Victoria Paternostro, Ezequiel Rela, Luz Roncal
  Funding: Basque Government (BERC 2018-2021), Spanish State Research Agency (SEV-2017-0718).
  
  
• Some remarks on dimension-free estimates for the discrete Hardy–Littlewood maximal functions
  Israel Journal of Mathematics, 2022, link, arXiv
  with Mariusz Mirek, Paweł Plewa, Błażej Wróbel
  Funding: Faculty of Pure and Applied Mathematics at the Wrocław University of Science and Technology (#049U/0052/19).
  
  
• BV continuity for the uncentered Hardy–Littlewood maximal operator
  Journal of Functional Analysis, 2021, link, arXiv
  with Cristian González-Riquelme
  Funding: National Science Centre of Poland (PRELUDIUM 2016/21/N/ST1/01496).
  
  
• On differentiation of integrals in the infinite-dimensional torus
  Studia Mathematica, 2021, link, arXiv
  Funding: National Science Centre of Poland (PRELUDIUM 2016/21/N/ST1/01496).
  
  
• Maximal operators on Lorentz spaces in non-doubling setting
  Mathematische Zeitschrift, 2021, link, arXiv
  Funding: National Science Centre of Poland (PRELUDIUM 2016/21/N/ST1/01496).
  
  
• BMO spaces for nondoubling metric measure spaces
  Publicacions Matemàtiques, 2020, link, arXiv
  Funding: National Science Centre of Poland (PRELUDIUM 2016/21/N/ST1/01496).
  
  
• Dichotomy property for maximal operators in non-doubling setting
  Bulletin of the Australian Mathematical Society, 2019, link, arXiv
  Funding: National Science Centre of Poland (PRELUDIUM 2016/21/N/ST1/01496).
  
  
• On relations between weak and strong type inequalities for modified maximal operators on non-doubling metric measure spaces
  Forum Mathematicum, 2019, link, arXiv
  Funding: National Science Centre of Poland (PRELUDIUM 2016/21/N/ST1/01496).
  
  
• On relations between weak type and restricted weak type inequalities for maximal operators on non-doubling metric measure spaces
  Studia Mathematica, 2018, link, arXiv
  Funding: National Science Centre of Poland (PRELUDIUM 2016/21/N/ST1/01496).
  
  
• On relations between weak and strong type inequalities for maximal operators on non-doubling metric measure spaces
  Publicacions Matemàtiques, 2018, link, arXiv
  
  
• On the discretization technique for the Hardy–Littlewood maximal operators
  Real Analysis Exchange, 2016, link
  
  
• Corrigendum to “On a discrete version of Tanaka's theorem for maximal functions”
  Proceedings of the American Mathematical Society, 2015, link
  with Jonathan Bober, Emanuel Carneiro, Kevin Hughes, Lillian B. Pierce
  

Przydatne odnośniki

• Politechnika Wrocławska


• Wydział Matematyki


• Kalendarz akademicki