Commutators of Littlewood-Paley Operators on the Generalized Morrey Space

oleh: Ding Yong, Wang Xinxia, Chen Yanping

Format: Article
Diterbitkan: SpringerOpen 2010-01-01

Deskripsi

<p/> <p>Let <inline-formula> <graphic file="1029-242X-2010-961502-i1.gif"/></inline-formula>, <inline-formula> <graphic file="1029-242X-2010-961502-i2.gif"/></inline-formula>, and <inline-formula> <graphic file="1029-242X-2010-961502-i3.gif"/></inline-formula> denote the Marcinkiewicz integral, the parameterized area integral, and the parameterized Littlewood-Paley <inline-formula> <graphic file="1029-242X-2010-961502-i4.gif"/></inline-formula> function, respectively. In this paper, the authors give a characterization of BMO space by the boundedness of the commutators of <inline-formula> <graphic file="1029-242X-2010-961502-i5.gif"/></inline-formula>, <inline-formula> <graphic file="1029-242X-2010-961502-i6.gif"/></inline-formula>, and <inline-formula> <graphic file="1029-242X-2010-961502-i7.gif"/></inline-formula> on the generalized Morrey space <inline-formula> <graphic file="1029-242X-2010-961502-i8.gif"/></inline-formula>.</p>