Musielak-Orlicz Campanato spaces and applications

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• 作者：Yiyu Liang ^{yyliang@mail.bnu.edu.cn} ; Dachun Yang ; ^{dcyang@bnu.edu.cn}
• 关键词：Musielak&ndash ; Orlicz function ; BMO space ; Campanato space ; John&ndash ; Nirenberg inequality ; Dual space ; Carleson measure
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2013
• 出版时间：1 October, 2013
• 年：2013
• 卷：406
• 期：1
• 页码：307-322
• 全文大小：502 K

文摘

Let be such that is an Orlicz function and is a Muckenhoupt weight uniformly in . In this article, the authors introduce the Musielak-Orlicz Campanato space ; as an application, the authors prove that some of them is the dual space of the Musielak-Orlicz Hardy space , which, in the case when and , was obtained by L.D. Ky [ ]. The authors also establish a John-Nirenberg inequality for functions in and, as an application, the authors also obtain several equivalent characterizations of , which, in return, further induce the -Carleson measure characterization of .