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001			EBC3114100
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005			20240729124600.0
006			m o d |
007			cr cnu||||||||
008			240724s2008 xx o ||||0 eng d
020			_a9781470405007 _q(electronic bk.)
020			_z9780821840436
035			_a(MiAaPQ)EBC3114100
035			_a(Au-PeEL)EBL3114100
035			_a(CaPaEBR)ebr11039719
035			_a(OCoLC)922981520
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA331 -- .D56 2008eb
082	0		_a515/.2433
100	1		_aDindoš, Martin.
245	1	0	_aHardy Spaces and Potential Theory on C^{1} Domains in Riemannian Manifolds.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2008.
264		4	_c©2008.
300			_a1 online resource (92 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.191
505	0		_aIntro -- Contents -- Abstract -- Chapter 0. Introduction -- Chapter 1. Background and Definitions -- 1.1. Notation, terminology and known results -- 1.2. Hardy spaces and layer potentials -- Chapter 2. The Boundary Layer Potentials -- 2.1. Compactness of operators K, K* -- 2.2. Invertibility of ±1/2+ K, ±1/2 + K* -- Chapter 3. The Dirichlet problem -- 3.1. L[sup(p)] boundary data -- 3.2. Hardy space boundary data -- 3.3. Holder space boundary data -- Chapter 4. The Neumann problem -- 4.1. L[sup(p)] boundary data -- 4.2. Hardy space boundary data -- 4.3. Holder space boundary data -- Chapter 5. Compactness of Layer Potentials, Part II -- The Dirichlet regularity problem -- 5.1. Preliminaries -- 5.2. Compactness and invertibihty of K on Sobolev space H[sup(1,p)] -- 5.3. Compactness and invertibihty of K on Hardy-Sobolev space H[sup(1,p)] -- 5.4. Dirichlet regularity problem, Sobolev H[sup(1,p)] (1 &lt -- p &lt -- ∞) data -- 5.5. Dirichlet regularity problem, H[sup(1,p)] (( n 1) / n &lt -- p ≤ 1) data -- Chapter 6. The equivalence of Hardy space definitions -- 6.1. Preliminaries -- 6.2. C-suharmonicity -- 6.3. The main step -- 6.4. The equivalence theorem on C[sup(1)] domains -- 6.5. The equivalence theorem on Lipschitz domains -- Appendix A. Variable Coefficient Cauchy Integrals -- Appendix B. One Result on the Maximal Operator -- 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	_aRiemannian manifolds.
650		0	_aPotential theory (Mathematics).
655		4	_aElectronic books.
776	0	8	_iPrint version: _aDindoš, Martin _tHardy Spaces and Potential Theory on C^{1} Domains in Riemannian Manifolds _dProvidence : American Mathematical Society,c2008 _z9780821840436
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114100 _zClick to View
999			_c69631 _d69631