REVIEW 1 cited by
The John--Nirenberg constant of ${\rm BMO}^p,$ $1\le p\le 2$
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
abstract
We compute the exact John--Nirenberg constant of ${\rm BMO}^p((0,1))$ for $1\le p\le 2,$ which has been known only for $p=1$ and $p=2.$ We also show that this constant is attained in the weak-type John--Nirenberg inequality and obtain a sharp lower estimate for the distance in ${\rm BMO}^p$ to $L^\infty.$ These results rely on sharp $L^p$- and weak-type estimates for logarithms of $A_\infty$ weights, which in turn use the exact expressions for the corresponding Bellman functions.
Forward citations
Cited by 1 Pith paper
-
Sharp transference principle for $\mathrm{BMO}$ and $A_p$
Sharp constants for John-Nirenberg and Reverse Hölder inequalities are the same on the circle, the interval, and the line, proved via a new martingale-based transference principle.
Discussion (0). Continue with ORCID to comment.