与[公式：见原文]-球相关的离散多亚线性分数次极大算子的端点正则性。
Endpoint regularity of discrete multisublinear fractional maximal operators associated with [Formula: see text]-balls.
作者信息
Liu Feng
机构信息
College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, China.
出版信息
J Inequal Appl. 2018;2018(1):33. doi: 10.1186/s13660-018-1627-9. Epub 2018 Feb 6.
Abstract
In this paper we investigate the endpoint regularity of the discrete -sublinear fractional maximal operator associated with [Formula: see text]-balls, both in the centered and uncentered versions. We show that these operators map [Formula: see text] into [Formula: see text] boundedly and continuously. Here [Formula: see text] represents the set of functions of bounded variation defined on [Formula: see text].
摘要
在本文中，我们研究了与[公式：见正文]球相关的离散次线性分数极大算子在中心和非中心版本下的端点正则性。我们证明这些算子将[公式：见正文]有界且连续地映射到[公式：见正文]中。这里[公式：见正文]表示在[公式：见正文]上定义的有界变差函数集。
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