论文标题
$ \ mathrm {bmo} $ $ \ mathrm {i} $尖锐的mathrm {bmo} $
Sharp mutliplicative inequalities with $\mathrm{BMO}$ $\mathrm{I}$
论文作者
论文摘要
我们在不等式中找到了最好的常数$ c $ c \ |φ\ | _ {l^p}^{\ frac {p} {r}}} \ | | | | _ {\ mathrm {\ mathrm {bmo}}^{1- \ frac {p}在间隔的情况下，我们采用Bellman功能技术来解决此问题，然后将结果转移到圆圈和线上。
We find the best possible constant $C$ in the inequality $\|φ\|_{L^r}\leq C\|φ\|_{L^p}^{\frac{p}{r}}\|φ\|_{\mathrm{BMO}}^{1-\frac{p}{r}}$, where $2 \leq r$ and $p < r$. We employ the Bellman function technique to solve this problem in the case of an interval and then transfer our results to the circle and the line.
