Lidé
Mgr. Martin Křepela, Ph.D.
Všechny publikace
Discretization and antidiscretization of Lorentz norms with no restrictions on weights
- Autoři: Mgr. Martin Křepela, Ph.D., RNDr. Zdeněk Mihula, Ph.D., Turcinova, H.
- Publikace: Revista Matemática Complutense. 2022, 35(2), 615-648. ISSN 1139-1138.
- Rok: 2022
- DOI: 10.1007/s13163-021-00399-7
- Odkaz: https://doi.org/10.1007/s13163-021-00399-7
- Pracoviště: Katedra matematiky
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Anotace:
We improve the discretization technique for weighted Lorentz norms by eliminating all "non-degeneracy" restrictions on the involved weights. We use the new method to provide equivalent estimates on the optimal constant C such that the inequality
Lorentz and Gale-Ryser theorems on general measure spaces
- Autoři: Boza, S., Mgr. Martin Křepela, Ph.D., Soria, J.
- Publikace: Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 2022, 152(4), 857-878. ISSN 0308-2105.
- Rok: 2022
- DOI: 10.1017/prm.2021.37
- Odkaz: https://doi.org/10.1017/prm.2021.37
- Pracoviště: Katedra matematiky
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Anotace:
Based on the Gale-Ryser theorem [2, 6], for the existence of suitable (0, 1)-matrices for different partitions of a natural number, we revisit the classical result of Lorentz [4] regarding the characterization of a plane measurable set, in terms of its cross-sections, and extend it to general measure spaces.
