Optimal factorization of Muckenhoupt weights期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

Optimal factorization of Muckenhoupt weights

Authors:	Michael Brian Korey

Institution:	Institut für Mathematik, Universität Potsdam, 14415 Potsdam, Germany

Abstract:	Peter Jones' theorem on the factorization of weights is sharpened for weights with bounds near , allowing the factorization to be performed continuously near the limiting, unweighted case. When $1<p<\infty$ and is an weight with bound $A_p(w)=1+\varepsilon$ , it is shown that there exist weights such that both the formula $w=uv^{1-p}$ and the estimates $A_1(u), A_1(v)=1+\mathcal O(\sqrt\varepsilon)$ hold. The square root in these estimates is also proven to be the correct asymptotic power as $\varepsilon\to 0$ .

Keywords:	Jones' factorization theorem bounded mean oscillation vanishing mean oscillation $A_p$ condition

	点击此处可从《Transactions of the American Mathematical Society》浏览原始摘要信息
	点击此处可从《Transactions of the American Mathematical Society》下载免费的PDF全文