We characterize rearrangement invariant spaces $X$ with respect to a suitable one dimensional probability $\mu$ e.g. log-concave measure) such that the Sobolev embedding into BMO space holds where $BMO$ is the space of functions with bounded mean oscillation with respect to $\mu$. We investigate the embedding in weak-$L^{\infty}$ too.
Sobolev embedding into BMO and weak-$L^{\infty}$ for 1-dimensional probability measure / Feo, F.; Martin, J; Posteraro, MARIA ROSARIA. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - 422:1(2015), pp. 478-495.
Sobolev embedding into BMO and weak-$L^{\infty}$ for 1-dimensional probability measure
POSTERARO, MARIA ROSARIA
2015
Abstract
We characterize rearrangement invariant spaces $X$ with respect to a suitable one dimensional probability $\mu$ e.g. log-concave measure) such that the Sobolev embedding into BMO space holds where $BMO$ is the space of functions with bounded mean oscillation with respect to $\mu$. We investigate the embedding in weak-$L^{\infty}$ too.File in questo prodotto:
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