Characterizations of BMO Associated with Gauss Measures via Commutators of Local Fractional Integrals
| dc.creator | Liu, Liguang | |
| dc.creator | Yang, Dachun | |
| dc.date | 2009-03-23 | |
| dc.date | 2009-03-28 | |
| dc.date.accessioned | 2026-07-07T12:57:16Z | |
| dc.date.available | 2026-07-07T12:57:16Z | |
| dc.description | Let $dγ(x)\equivπ^{-n/2}e^{-|x|^2}dx$ for all $x\in{\mathbb R}^n$ be the Gauss measure on ${\mathbb R}^n$. In this paper, the authors establish the characterizations of the space BMO$(γ)$ of Mauceri and Meda via commutators of either local fractional integral operators or local fractional maximal operators. To this end, the authors first prove that such a local fractional integral operator of order $β$ is bounded from $L^p(γ)$ to $L^{p/(1-pβ)}(γ)$, or from the Hardy space $H^1(γ)$ of Mauceri and Meda to $L^{1/(1-β)}(γ)$ or from $L^{1/β}(γ)$ to BMO$(γ)$, where $β\in(0, 1)$ and $p\in(1, 1/β)$. | |
| dc.description | 25 pages; Israel J. Math. (to appear) | |
| dc.identifier | https://arxiv.org/abs/0903.3780 | |
| dc.identifier | http://arxiv.org/abs/0903.3780 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224873 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Functional Analysis | |
| dc.subject | 47B47 (Primary) 47H50, 42B30 (Secondary) | |
| dc.title | Characterizations of BMO Associated with Gauss Measures via Commutators of Local Fractional Integrals | |
| dc.type | text |