Musielak-Orlicz Campanato spaces and applications

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:406

Article

Liang, Yiyu¹  Yang, Dachun¹ 

[1] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China

关键词: Musielak-Orlicz function;    BMO space;    Campanato space;    John-Nirenberg inequality;    Dual space;    Carleson measure;   

DOI  :  10.1016/j.jmaa.2013.04.069

来源: Elsevier

【 摘 要 】

Let phi : R-n x [0, infinity) -> [0, infinity) be such that phi(x, .) is an Orlicz function and phi(., t) is a Muckenhoupt A(infinity)(R-n) weight uniformly in t. In this article, the authors introduce the Musielak-Orlicz Campanato space L-phi,L-q,L-s(R-n); as an application, the authors prove that some of them is the dual space of the Musielak-Orlicz Hardy space H-phi(R-n), which, in the case when q = 1 and s = 0, was obtained by L.D. Ky [ arXiv:1105.0486 ]. The authors also establish a John-Nirenberg inequality for functions in L-phi,L-1,L-s(R-n) and, as an application, the authors also obtain several equivalent characterizations of L-phi,L-q,L-s(R-n), which, in return, further induce the phi-Carleson measure characterization of L-phi,L-1,L-s(R-n). (c) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free