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New characterizations of Morrey spaces and their preduals with applications to fractional Laplace

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New characterizations of Morrey spaces and their preduals with applications to fractional Laplace equations
文献类型:期刊
通讯作者:Yang, DC (reprint author), Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ China, Beijing 100875, Peoples R China.
期刊名称:JOURNAL OF DIFFERENTIAL EQUATIONS影响因子和分区
年:2019
卷:266
期:8
页码:5118-5167
ISSN:0022-0396
关键词:Riesz potential; Money space; Capacity; Fractional Laplace equation
摘要:In this article, the authors characterize the Money spaces as well as their preduals via quadratic functions related to the Taylor remainder of the kernel of the Riesz potential. As applications, the authors obtain some strong capacitary inequalities, which are then used to study the regularity of the duality/weak solution to the fractional Laplace equation with measure data. (C) 2018 Elsevier Inc. All rights reserved.
DOI:10.1016/j.jde.2018.10.020
百度学术:New characterizations of Morrey spaces and their preduals with applications to fractional Laplace equations
语言:外文
人气指数:3
浏览次数:3
基金:National Natural Science Foundation of ChinaNational Natural Science Foundation of China [11771446, 11571039, 11671185, 11871100, 11761131002, 11726621]
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