Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6418095 | Journal of Mathematical Analysis and Applications | 2015 | 18 Pages |
Abstract
We characterize rearrangement invariant spaces X with respect to a suitable 1-dimensional probability μ (e.g. log-concave measure) such that the Sobolev embeddingâuâBMO(R,μ)â¤C(âuâ²âX+âuâL1(R,μ)) holds for any function uâL1(R,μ), whose real-valued weakly derivative uâ² 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-Lâ(R,μ), too.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Filomena Feo, Joaquim Martin, M. Rosaria Posteraro,