New characterizations of BLO spaces by heat semigroups and applications
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866915766340681728 |
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| author | Liang, Shaohong Yang, Dongyong Zhang, Chao |
| author_facet | Liang, Shaohong Yang, Dongyong Zhang, Chao |
| contents | In this paper, we give two new characterizations of the bounded lower oscillation(BLO) space by using the Gaussian heat semigroup. By the new characterizations, we prove the regularity property of the solutions to the heat equation with BLO boundary value. Also, we reprove the BMO-BLO boundedness of the Littlewood-Paley $g$-function by using the semigroup method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_00479 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | New characterizations of BLO spaces by heat semigroups and applications Liang, Shaohong Yang, Dongyong Zhang, Chao Analysis of PDEs Classical Analysis and ODEs 42B25, 42B37 In this paper, we give two new characterizations of the bounded lower oscillation(BLO) space by using the Gaussian heat semigroup. By the new characterizations, we prove the regularity property of the solutions to the heat equation with BLO boundary value. Also, we reprove the BMO-BLO boundedness of the Littlewood-Paley $g$-function by using the semigroup method. |
| title | New characterizations of BLO spaces by heat semigroups and applications |
| topic | Analysis of PDEs Classical Analysis and ODEs 42B25, 42B37 |
| url | https://arxiv.org/abs/2602.00479 |