000			03761nam a22005293i 4500
001			EBC3114176
003			MiAaPQ
005			20240729124602.0
006			m o d |
007			cr cnu||||||||
008			240724s2011 xx o ||||0 eng d
020			_a9781470406240 _q(electronic bk.)
020			_z9780821852385
035			_a(MiAaPQ)EBC3114176
035			_a(Au-PeEL)EBL3114176
035			_a(CaPaEBR)ebr11039795
035			_a(OCoLC)922981766
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA320 -- .H373 2011eb
082	0		_a515.9
100	1		_aHofmann, Steve.
245	1	0	_aHardy Spaces Associated to Non-Negative Self-Adjoint Operators Satisfying Davies-Gaffney Estimates.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2011.
264		4	_c©2011.
300			_a1 online resource (91 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.214
505	0		_aIntro -- Contents -- Chapter 1. Introduction -- Chapter 2. Notation and preliminaries -- 2.1. Spaces of homogeneous type -- 2.2. Assumptions -- 2.3. The classical Hardy space H1(Rn) -- 2.4. Hardy spaces via atoms -- 2.5. Hardy spaces via molecules -- 2.6. Hardy spaces via square and maximal functions -- 2.7. BMO spaces associated to operators -- 2.8. Historical notes -- Chapter 3. Davies-Gaffney estimates -- 3.1. Self-improving properties of Davies-Gaffney estimates -- 3.2. Finite speed propagation for the wave equation and Davies-Gaffney estimates -- Chapter 4. The decomposition into atoms -- 4.1. Strategy of the proof of Theorem 4.1 -- 4.2. H1L,at, M(X) H1L, Sh(X) H2(X) for all M&gt -- n0/4 -- 4.3. The inclusion ( H1L, Sh(X) H2(X))H1L,at, M(X) for all M1 -- 4.4. Equivalence of H1L, SP(X) and H1L,at, M(X) when M&gt -- n0/4 -- 4.5. Inclusion among the spaces H1L,at, M(X), H1L, Nh(X) and H1L, NP(X) -- Chapter 5. Relations between atoms and molecules -- Chapter 6. BMOL,M(X): Duality with Hardy spaces -- Chapter 7. Hardy spaces and Gaussian estimates -- 7.1. Hardy spaces H1L,at, M(X), H1L, Sh(X) and H1L, SP(X) and Gaussian estimates -- 7.2. Hardy spaces via maximal functions -- 7.3. The spaces BMOL(X) under Gaussian bounds -- Chapter 8. Hardy spaces associated to Schrödinger operators -- 8.1. Equivalences among H1L,at, M(Rn), H1L, Sh(Rn) and H1L, SP(Rn) -- 8.2. Maximal characterization of H1L,at, M(Rn) -- 8.3. H1L,at,MH1 bounds for Riesz transforms of Schrödinger operators -- Chapter 9. Further properties of Hardy spaces associated to operators -- 9.1. The semigroup with the conservation property -- 9.2. Hardy spaces HpL(X) for 1p&lt -- -- 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	_aHarmonic analysis.
650		0	_aInterpolation spaces.
650		0	_aPseudodifferential operators.
655		4	_aElectronic books.
700	1		_aLu, Guozhen.
700	1		_aMitrea, Dorina.
700	1		_aMitrea, Marius.
700	1		_aYan, Lixin.
776	0	8	_iPrint version: _aHofmann, Steve _tHardy Spaces Associated to Non-Negative Self-Adjoint Operators Satisfying Davies-Gaffney Estimates _dProvidence : American Mathematical Society,c2011 _z9780821852385
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114176 _zClick to View
999			_c69707 _d69707