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	Approximation property and nuclearity on mixed-norm L-p, modulation and Wiener amalgam spaces
	Delgado, J. ; Ruzhansky, M. ; Wang, B.
	2016
关键词	VON-NEUMANN PROPERTIES PSEUDODIFFERENTIAL-OPERATORS FREDHOLM DETERMINANT BANACH-SPACES CONTINUITY PROPERTIES CALCULUS
英文摘要	In this paper, we first prove the metric approximation property for weighted mixed-norm L-p spaces. Using Gabor frame representation, this implies that the same property holds in weighted modulation and Wiener amalgam spaces. As a consequence, Grothendieck's theory becomes applicable, and we give criteria for nuclearity and -nuclearity for operators acting on these spaces as well as derive the corresponding trace formulae. Finally, we apply the notion of nuclearity to functions of the harmonic oscillator on modulation spaces.; Leverhulme Research Grant [RPG-2014-02]; EPSRC [EP/K039407/1]; NSFC [1171023]; Sino-UK research project by the British Council China; China Scholarship Council; SCI(E); ARTICLE; j.delgado@imperial.ac.uk; m.ruzhansky@imperial.ac.uk; wbx@pku.edu.cn; 391-408; 94
语种	英语
出处	SCI
出版者	JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/458842]
专题	数学科学学院
推荐引用方式 GB/T 7714	Delgado, J.,Ruzhansky, M.,Wang, B.. Approximation property and nuclearity on mixed-norm L-p, modulation and Wiener amalgam spaces. 2016-01-01.

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