A counterexample to a weak-type estimate for potential spaces and tangential approach regions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

A counterexample to a weak-type estimate for potential spaces and tangential approach regions

Authors:	Javier Soria Olof Svensson

Institution:	Department of Applied Mathematics and Analysis, University of Barcelona, E-08071 Barcelona, Spain ; Department of Science and Technology, Campus Norrköping, Linköping University, SE-601 74 Norrköpingweden, Sweden

Abstract:	We show that for every potential space $L^{1}_{K}(\mathbb{R} ^{n})$ , there exists an approach region for which the associated maximal function is of weak-type, but the boundedness for the completed region is false, which is in contrast with the nontangential case.

Keywords:	Potential spaces maximal functions approach regions

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