李亮, 赵发友. 一些次线性算子在非齐性弱Herz空间中的有界性(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2007, 105(1): 31-34.DOI：
一些次线性算子在非齐性弱Herz空间中的有界性(英文)
摘要
本文在具有仅满足增长性条件测度μ的非齐性空间上引入了弱H erz空间
并讨论了某些次线性算子在该空间上的有界性;特别的
我们得到了分数次积分算子的有界性.
Abstract
Let μ be a Radon measure on R~dsatisfying just a mild growth condition
namely that the measure of each ball is controlled by a fixed power of its radius.The main purpose of this paper is to consider the boundedness of a class of sublinear operators on weak Herz space with non-doubling measures.As special cases
we obtain the boundedness of fractional operators.
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references
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