论文标题
Kakeya不平等在强大的空间中的最大功能
Kakeya inequalities by maximal functions in Hardy spaces
论文作者
论文摘要
在本文中，我们将通过在$ \ rr^n $，\，$（n \ geq2）$中的最大功能中介绍和研究几种类型的Kakeya不平等现象，我们可以获得与Kakeya不平等相关的几种不平等现象。我们将证明$ \ big \ | m^t_ {δs_{α，β}} f \ big \ | _p \ simsim_ { l^p（\ rr^n）$和$ supp \，\ hat {f}（ξ）\ subseteq b（0,1）$。
In this paper, we will introduce and study several types of Kakeya inequalities by the maximal functions in Hardy spaces in $\RR^n$,\,$(n\geq2)$, and we could obtain several inequalities associated with the Kakeya inequalities. We will show that $\big\|M^t_{δS_{α,β}} f \big\|_p\lesssim_{p,n,φ,\varepsilon}\left(\frac{1}δ\right)^{5\left(\frac{n}{r}+2\right)\varepsilon}\big\|f\big\|_p$, when $f(x)\in L^p(\RR^n)$ and $supp\,\hat{f}(ξ)\subseteq B(0,1)$.
