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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2508.16893 |
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| _version_ | 1866912556477579264 |
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| author | Berasategui, Miguel Berná, Pablo M. Chu, Hung Viet García, Andrea |
| author_facet | Berasategui, Miguel Berná, Pablo M. Chu, Hung Viet García, Andrea |
| contents | 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 [F. Albiac, J. L. Ansorena, and P. M. Berná, New parameters and Lebesgue-type estimates in greedy approximation, Forum Math. Sigma 10 (2022), 1-39]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_16893 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lebesgue-type estimates for greedy algorithms in quasi-Banach spaces Berasategui, Miguel Berná, Pablo M. Chu, Hung Viet García, Andrea Functional Analysis 46A16, 46A35 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 [F. Albiac, J. L. Ansorena, and P. M. Berná, New parameters and Lebesgue-type estimates in greedy approximation, Forum Math. Sigma 10 (2022), 1-39]. |
| title | Lebesgue-type estimates for greedy algorithms in quasi-Banach spaces |
| topic | Functional Analysis 46A16, 46A35 |
| url | https://arxiv.org/abs/2508.16893 |