000			02982nam a22004573i 4500
001			EBC3114055
003			MiAaPQ
005			20240729124559.0
006			m o d |
007			cr cnu||||||||
008			240724s2007 xx o ||||0 eng d
020			_a9781470404857 _q(electronic bk.)
020			_z9780821839805
035			_a(MiAaPQ)EBC3114055
035			_a(Au-PeEL)EBL3114055
035			_a(CaPaEBR)ebr11039674
035			_a(OCoLC)922981519
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA331 -- .M475 2007eb
082	0		_a515/.94
100	1		_aMei, Tao.
245	1	0	_aOperator Valued Hardy Spaces.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2007.
264		4	_c©2007.
300			_a1 online resource (78 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.188
505	0		_aIntro -- Contents -- Introduction -- Chapter 1. Preliminaries -- 1. The noncommutative spaces L[sup(p)](M,L[sup(2)][sub(c)](Ω)) -- 2. Operator valued Hardy spaces -- 3. Operator valued BMO spaces -- Chapter 2. The Duality between H[sup(1)] and BMO -- 1. The bounded map from L[sup(∞)](L[sup(∞)](R) ⊗ M,L[sup(2)][sub(C)]) to BMO[sub(c)](R,M) -- 2. The duality theorem of operator valued H[sup(1)] and BMO -- 3. The atomic decomposition of operator valued H[sup(1)] -- Chapter 3. The Maximal Inequality -- 1. The noncommutative Hardy-Littlewood maximal inequality -- 2. The noncommutative Lebesgue differentiation theorem and non-tangential limit of Poisson integrals -- Chapter 4. The Duality between H[sup(p)] and BMO[sup(q)],1 &lt -- p &lt -- 2 -- 1. Operator valued BMO[sup(q)](q &gt -- 2) -- 2. The duality theorem of H[sup(p)] and BM0[sup(q)](1 &lt -- p &lt -- 2) -- 3. The equivalence of H[sup(q)] and BMO[sup(q)](q &gt -- 2) -- Chapter 5. Reduction of BMO to dyadic BMO -- 1. BMO is the intersection of two dyadic BMO -- 2. The equivalence of H[sup(p)][sub(cr)] (R,M) and L[sup(p)](L[sup(∞)](R) ⊗ M)(1&lt -- p&lt -- ∞) -- Chapter 6. Interpolation -- 1. Complex interpolation -- 2. Real interpolation -- 3. Fourier multipliers -- Bibliography.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aHardy spaces.
650		0	_aOperator theory.
655		4	_aElectronic books.
776	0	8	_iPrint version: _aMei, Tao _tOperator Valued Hardy Spaces _dProvidence : American Mathematical Society,c2007 _z9780821839805
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114055 _zClick to View
999			_c69586 _d69586