Musielak-Orlicz Campanato spaces and applications
Musielak-Orlicz Campanato spaces and applications
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Musielak-Orlicz Campanato 空间和应用
DOI：
10.1016/j.jmaa.2013.04.069
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发表时间：
2013-10-01
影响因子：
1.3
通讯作者：
Yang, Dachun
中科院分区：
文献类型：
--
作者：
Liang, Yiyu;Yang, Dachun
设phi：R-n x [0，无穷大）->[0，无穷大）使得phi（x，.）是Orlicz函数，而phi（.，t）是在t中均匀分布的Muckenhoupt A（无穷大）（R-n）权重。本文引入了Musielak-Orlicz Campanato空间L-phi，L-q，L-s（R-n），作为应用，证明了其中某些空间是Musielak-Orlicz哈代空间H-phi（R-n）的对偶空间。Ky [arXiv：1105.0486].建立了L-phi，L-1，L-s（R-n）中函数的John-Nirenberg不等式，作为应用，得到了L-phi，L-q，L-s（R-n）的几个等价刻画，进而导出了L-phi，L-1，L-s（R-n）的phi-Carleson测度刻画. (c)2013 Elsevier Inc. All rights reserved.
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.