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	A note on operator-valued Fourier multipliers on Besov spaces
	Bu, SQ ; Kim, JM
	2010-05-06 ; 2010-05-06
关键词	operator-valued Fourier multiplier Besov spaces UMD spaces Hilbert spaces THEOREMS REGULARITY Mathematics
中文摘要	Let X be a Banach space. We show that each m : R backslash {0} -> L(Chi) satisfying the Mikhlin condition sup(x not equal 0) (parallel to m(x)parallel to + parallel to xm'(x)parallel to) < infinity defines aFourier multiplieron B-p(s),q(R; X) if and only if 1 < p < infinity and X is isomorphic to a Hilbert space; each bounded measurable function m : R -> L(X) having a uniformly bounded variation on dyadic intervals defines a Fourier multiplier on B-p(s),q (R; X) if and only if 1 < p < infinity P and X is a UMD space. (c) 2004 WILEYNCH Verlag GmbH & Co. KGaA, Weinheim.
语种	英语 ; 英语
出版者	WILEY-V C H VERLAG GMBH ; WEINHEIM ; PO BOX 10 11 61, D-69451 WEINHEIM, GERMANY
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/13924]
专题	清华大学
推荐引用方式 GB/T 7714	Bu, SQ,Kim, JM. A note on operator-valued Fourier multipliers on Besov spaces[J],2010, 2010.
APA	Bu, SQ,&Kim, JM.(2010).A note on operator-valued Fourier multipliers on Besov spaces..
MLA	Bu, SQ,et al."A note on operator-valued Fourier multipliers on Besov spaces".(2010).

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