000			04114nam a22004933i 4500
001			EBC4908275
003			MiAaPQ
005			20240729131328.0
006			m o d |
007			cr cnu||||||||
008			240724s2017 xx o ||||0 eng d
020			_a9781470436070 _q(electronic bk.)
020			_z9781470422608
035			_a(MiAaPQ)EBC4908275
035			_a(Au-PeEL)EBL4908275
035			_a(CaPaEBR)ebr11409821
035			_a(OCoLC)967922979
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA387.L677 2017
082	0		_a514.32500000000005
100	1		_aHofmann, Steve.
245	1	0	_a _L^{p} _-Square Function Estimates on Spaces of Homogeneous Type and on Uniformly Rectifiable Sets.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2017.
264		4	_c©2016.
300			_a1 online resource (120 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.245
505	0		_aCover -- Title page -- Chapter 1. Introduction -- Chapter 2. Analysis and Geometry on Quasi-Metric Spaces -- 2.1. A metrization result for general quasi-metric spaces -- 2.2. Geometrically doubling quasi-metric spaces -- 2.3. Approximations to the identity on quasi-metric spaces -- 2.4. Dyadic Carleson tents -- Chapter 3. (1) and local ( ) Theorems for Square Functions -- 3.1. An arbitrary codimension (1) theorem for square functions -- 3.2. An arbitrary codimension local ( ) theorem for square functions -- Chapter 4. An Inductive Scheme for Square Function Estimates -- Chapter 5. Square Function Estimates on Uniformly Rectifiable Sets -- 5.1. Square function estimates on Lipschitz graphs -- 5.2. Square function estimates on (BP)^{ }LG sets -- 5.3. Square function estimates for integral operators with variable kernels -- Chapter 6. ^{ } Square Function Estimates -- 6.1. Mixed norm spaces -- 6.2. Estimates relating the Lusin and Carleson operators -- 6.3. Weak ^{ } square function estimates imply ² square function estimates -- 6.4. Extrapolating square function estimates -- Chapter 7. Conclusion -- References -- Back Cover.
520			_aThe authors establish square function estimates for integral operators on uniformly rectifiable sets by proving a local T(b) theorem and applying it to show that such estimates are stable under the so-called big pieces functor. More generally, they consider integral operators associated with Ahlfors-David regular sets of arbitrary codimension in ambient quasi-metric spaces. The local T(b) theorem is then used to establish an inductive scheme in which square function estimates on so-called big pieces of an Ahlfors-David regular set are proved to be sufficient for square function estimates to hold on the entire set. Extrapolation results for L^p and Hardy space versions of these estimates are also established. Moreover, the authors prove square function estimates for integral operators associated with variable coefficient kernels, including the Schwartz kernels of pseudodifferential operators acting between vector bundles on subdomains with uniformly rectifiable boundaries on manifolds.
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	_aHomogeneous spaces.
655		4	_aElectronic books.
700	1		_aMitrea, Dorina.
700	1		_aMitrea, Marius.
700	1		_aMorris, Andrew J.
776	0	8	_iPrint version: _aHofmann, Steve _t _L^{p} _-Square Function Estimates on Spaces of Homogeneous Type and on Uniformly Rectifiable Sets _dProvidence : American Mathematical Society,c2017 _z9781470422608
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=4908275 _zClick to View
999			_c128019 _d128019