000 02252nam a22004098a 4500
001 CR9780511662386
003 UkCbUP
005 20160624102258.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 091215s1977||||enk s ||1 0|eng|d
020 _a9780511662386 (ebook)
020 _z9780521215121 (paperback)
040 _aUkCbUP
_cUkCbUP
_erda
050 0 0 _aQA274.75
_b.P47
082 0 0 _a519.2/8
_2n/a
100 1 _aPetersen, K. E.,
_eauthor.
245 1 0 _aBrownian Motion, Hardy Spaces and Bounded Mean Oscillation /
_cK. E. Petersen.
246 3 _aBrownian Motion, Hardy Spaces & Bounded Mean Oscillation
260 1 _aCambridge :
_bCambridge University Press,
_c1977.
264 1 _aCambridge :
_bCambridge University Press,
_c1977.
300 _a1 online resource (112 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 0 _aLondon Mathematical Society Lecture Note Series ;
_vno. 28
500 _aTitle from publisher's bibliographic system (viewed on 16 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
786 _dCambridge
830 0 _aLondon Mathematical Society Lecture Note Series ;
_vno. 28.
856 4 0 _uhttp://dx.doi.org/10.1017/CBO9780511662386
942 _2EBK12067
_cEBK
999 _c41361
_d41361