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oai:recercat.cat:2072/4641722024-11-04T04:36:31Zcom_2072_98col_2072_378192
RECERCAT author Feo, Filomena author Martín i Pedret, Joaquim author Posteraro, Maria Rosaria 2024-11-04T04:36:31Z 2024-11-04T04:36:31Z 2015 http://hdl.handle.net/2072/464172 We characterize rearrangement invariant spaces X with respect to a suitable 1-dimensional probability μ (e.g. log-concave measure) such that the Sobolev embedding{norm of matrix}u{norm of matrix}BMO(R,μ)≤C({norm of matrix}u'{norm of matrix}X+{norm of matrix}u{norm of matrix}L1(R,μ)) holds for any function u∈L1(R,μ), whose real-valued weakly derivative u' belongs to X. Here BMO(R,μ) is the space of functions with bounded mean oscillation with respect to μ. We investigate the embedding in weak-L∞(R,μ), too. open access Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades. https://creativecommons.org/licenses/by-nc-nd/4.0/ 1-dimensional log-concave probability measure BMO space Embedding Rearrangement invariant space Weak-L space ∞ Sobolev embedding into BMO and weak-L∞ for 1-dimensional probability measure Article