W tym semestrze nie prowadzę konsultacji oraz zajęć dydaktycznych. :( W razie potrzeby można skontaktować się ze mną mailowo. :)
Publications and preprints
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).
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).
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 Wrocław University of Science and Technology (#049U/0052/19).
On differentiation of integrals in the infinite-dimensional torus Studia Mathematica, 2021, link, arXiv Funding: National Science Centre of Poland (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 (2016/21/N/ST1/01496).
BMO spaces for nondoubling metric measure spaces Publicacions Matemàtiques, 2020, link, arXiv Funding: National Science Centre of Poland (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 (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 (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