Sharp estimates for the functions of bounded lower oscillation

Authors

  • Adam Osekowski University of Warsaw

Keywords:

BMO, BLO, Bellman function, best constants

Abstract

Let $f:\R\to \R$ be a locally integrable function of bounded lower oscillation. The paper contains the proofs of sharp strong-type, weak-type and exponential estimates for the mean oscillation of $f$. In particular, this yields the precise value of the norm of the embedding $BLO \subset BMO_p$, $1\leq p<\infty$. Higher-dimensional analogues for anisotropic $BLO$ spaces are also established. DOI: 10.1017/S0004972712000226

Published

2012-12-17

Issue

Vol. 87 No. 1 (2013)

Section

Articles
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