Atomic decomposition and interpolation for Hardy spaces of noncommutative martingales期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Atomic decomposition and interpolation for Hardy spaces of noncommutative martingales

Authors:	Turdebek N. Bekjan Zeqian Chen Mathilde Perrin Zhi Yin

Affiliation:	^a College of Mathematics and Systems Sciences, Xinjiang University, Urumqi 830046, China ^b Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, PO Box 71010, 30 West Strict, Xiao-Hong-Shan, Wuhan 430071, China ^c Laboratoire de Mathématiques, Université de Franche-Comté, 25030 Besançon Cedex, France ^d Graduate School, Chinese Academy of Sciences, Wuhan 430071, China

Abstract:	We prove that atomic decomposition for the Hardy spaces h₁ and H₁ is valid for noncommutative martingales. We also establish that the conditioned Hardy spaces of noncommutative martingales hp and bmo form interpolation scales with respect to both complex and real interpolations.

Keywords:	Noncommutative mmlsi5" onclick=" submitCitation('/science?_ob=MathURL& _method=retrieve& _eid=1-s2.0-S0022123609005096& _mathId=si5.gif& _pii=S0022123609005096& _issn=00221236& _acct=C000053510& _version=1& _userid=1524097& md5=022da4e4d31cd7cc15e01166648d6810')" style=" cursor:pointer " alt=" Click to view the MathML source" title=" Click to view the MathML source" > formulatext" title=" click to view the MathML source" >Lp-spaces Noncommutative martingales Atoms Interpolation Hardy spaces Square functions
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