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Atomic decomposition and interpolation for Hardy spaces of noncommutative martingales |
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| Authors: | Turdebek N Bekjan Zeqian Chen Mathilde Perrin Zhi Yin |
| Institution: | 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 _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 Lp-spaces" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">Lp-spaces Noncommutative martingales Atoms Interpolation Hardy spaces Square functions |
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