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	Some essential properties of Q(p)(partial derivative Delta)-spaces
	Xiao, J
	2000
关键词	Qp(partial derivative Delta)-space Sobolev space Mobius boundedness wavelet SPACES
英文摘要	For p epsilon (-infinity, infinity), let Q(p)(partial derivative Delta) be the space of all complex-valued functions f on the unit circle partial derivative Delta satisfying sup I subset of partial derivative Delta \I\-P integral I integral I \f(z) - f)w)\2 / \z - w\2-p \dz\\dw\ < infinity, where the supremum is taken over all subarcs I subset of partial derivative Delta with the arclength \I\. In this paper we consider some essential properties of Q(p)(partial derivative Delta). We first show that if p > 1, then Q(p)(partial derivative Delta) = BMO(partial derivative Delta), the space of complex-valued functions with bounded mean oscillation on aa. Second, we prove that a function belongs to Qp(partial derivative Delta) if and only if ii is Mobius bounded in the Sobolev space L-p(2)(partial derivative Delta). Finally, a characterization of Qp(partial derivative Delta) is given via wavelets.; Mathematics, Applied; SCI(E); 5; ARTICLE; 3; 311-323; 6
语种	英语
出处	SCI
出版者	journal of fourier analysis and applications
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/158051]
专题	数学科学学院
推荐引用方式 GB/T 7714	Xiao, J. Some essential properties of Q(p)(partial derivative Delta)-spaces. 2000-01-01.

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