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	alpha-modulation spaces (I) scaling, embedding and algebraic properties
	Han, Jinsheng ; Wang, Baoxiang
	2014
关键词	alpha-modulation space Dual space Multiplication algebra Scaling property Embedding BANACH FRAMES PSEUDODIFFERENTIAL-OPERATORS BESOV-SPACES COMMUTATORS EQUATIONS SYMBOLS NLS
英文摘要	First, we consider some fundamental properties including dual spaces, complex interpolations of alpha-modulation spaces M-p,q(s,alpha) with 0 < p, q <= infinity. Next, necessary and sufficient conditions for the scaling property and the inclusions between alpha(1)-modulation and alpha(2)-modulation spaces are obtained. Finally, we give some criteria for alpha-modulation spaces constituting multiplication algebra. As a by-product, we show that there exists an alpha-modulation space which is not an interpolation space between modulation and Besov spaces. In a subsequent paper, we will give some applications of alpha-modulation spaces to nonlinear dispersive wave equations.; Mathematics; SCI(E); 0; ARTICLE; pkuhan@sjtu.edu.cn; wbx@pku.edu.cn; 4; 1315-1373; 66
语种	英语
出处	SCI
出版者	journal of the mathematical society of japan
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/388074]
专题	数学科学学院
推荐引用方式 GB/T 7714	Han, Jinsheng,Wang, Baoxiang. alpha-modulation spaces (I) scaling, embedding and algebraic properties. 2014-01-01.

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