000			02145nam a22003738i 4500
001			CR9780511662386
003			UkCbUP
005			20200124160241.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			091215s1977||||enk o ||1 0|eng|d
020			_a9780511662386 (ebook)
020			_z9780521215121 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA274.75 _b.P47 1977
082	0	0	_a519.2 _218
100	1		_aPetersen, Karl Endel, _d1943- _eauthor.
245	1	0	_aBrownian motion, Hardy spaces, and bounded mean oscillation / _cK.E. Petersen.
246	3		_aBrownian Motion, Hardy Spaces & Bounded Mean Oscillation
264		1	_aCambridge : _bCambridge University Press, _c1977.
300			_a1 online resource (105 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aLondon Mathematical Society lecture note series ; _v28
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520			_aThis exposition of research on the martingale and analytic inequalities associated with Hardy spaces and functions of bounded mean oscillation (BMO) introduces the subject by concentrating on the connection between the probabilistic and analytic approaches. Short surveys of classical results on the maximal, square and Littlewood-Paley functions and the theory of Brownian motion introduce a detailed discussion of the Burkholder-Gundy-Silverstein characterization of HP in terms of maximal functions. The book examines the basis of the abstract martingale definitions of HP and BMO, makes generally available for the first time work of Gundy et al. on characterizations of BMO, and includes a probabilistic proof of the Fefferman-Stein Theorem on the duality of H11 and BMO.
650		0	_aBrownian motion processes.
650		0	_aHardy spaces.
650		0	_aBounded mean oscillation.
776	0	8	_iPrint version: _z9780521215121
830		0	_aLondon Mathematical Society lecture note series ; _v28.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511662386
999			_c518538 _d518536