Lebesgue-type estimates for greedy algorithms in quasi-Banach spaces
Journal
Revista Matemática Complutense
ISSN
1139-1138
Date Issued
2026-08-08
Author(s)
Berasategui, Miguel
Berná, Pablo M.
Chu, Hùng Việt
García, Andrea
Abstract
We continue the study of Lebesgue-type parameters for various greedy algorithms in quasi-Banach spaces. First, we introduce a parameter that can be used with the quasi-greedy parameter to obtain the exact growth of the Lebesgue parameter for strong partially greedy bases. Second, we establish a new upper bound for the Lebesgue parameter for semi-greedy bases using the quasi-greedy and the squeeze symmetry parameters. Finally, we answer several open questions regarding the optimal power in various bounds proved in Albiac et al. [4].