Brownian motion, Hardy spaces, and bounded mean oscillation
This 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...
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge
Cambridge University Press
1977
|
Schriftenreihe: | London Mathematical Society lecture note series
28 |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
MARC
LEADER | 00000nam a2200000 i 4500 | ||
---|---|---|---|
001 | ZDB-20-CTM-CR9780511662386 | ||
003 | UkCbUP | ||
005 | 20151005020624.0 | ||
006 | m|||||o||d|||||||| | ||
007 | cr|||||||||||| | ||
008 | 091215s1977||||enk o ||1 0|eng|d | ||
020 | |a 9780511662386 | ||
100 | 1 | |a Petersen, Karl Endel |d 1943- | |
245 | 1 | 0 | |a Brownian motion, Hardy spaces, and bounded mean oscillation |c K.E. Petersen |
246 | 3 | |a Brownian Motion, Hardy Spaces & Bounded Mean Oscillation | |
264 | 1 | |a Cambridge |b Cambridge University Press |c 1977 | |
300 | |a 1 Online-Ressource (105 Seiten) | ||
336 | |b txt | ||
337 | |b c | ||
338 | |b cr | ||
490 | 1 | |a London Mathematical Society lecture note series |v 28 | |
520 | |a This 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. | ||
776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9780521215121 |
856 | 4 | 0 | |l TUM01 |p ZDB-20-CTM |q TUM_PDA_CTM |u https://doi.org/10.1017/CBO9780511662386 |3 Volltext |
912 | |a ZDB-20-CTM | ||
912 | |a ZDB-20-CTM | ||
049 | |a DE-91 |
Datensatz im Suchindex
DE-BY-TUM_katkey | ZDB-20-CTM-CR9780511662386 |
---|---|
_version_ | 1818779683718692865 |
adam_text | |
any_adam_object | |
author | Petersen, Karl Endel 1943- |
author_facet | Petersen, Karl Endel 1943- |
author_role | |
author_sort | Petersen, Karl Endel 1943- |
author_variant | k e p ke kep |
building | Verbundindex |
bvnumber | localTUM |
collection | ZDB-20-CTM |
doi_str_mv | 10.1017/CBO9780511662386 |
format | eBook |
fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01626nam a2200265 i 4500</leader><controlfield tag="001">ZDB-20-CTM-CR9780511662386</controlfield><controlfield tag="003">UkCbUP</controlfield><controlfield tag="005">20151005020624.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr||||||||||||</controlfield><controlfield tag="008">091215s1977||||enk o ||1 0|eng|d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780511662386</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Petersen, Karl Endel</subfield><subfield code="d">1943-</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Brownian motion, Hardy spaces, and bounded mean oscillation</subfield><subfield code="c">K.E. Petersen</subfield></datafield><datafield tag="246" ind1="3" ind2=" "><subfield code="a">Brownian Motion, Hardy Spaces & Bounded Mean Oscillation</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">1977</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (105 Seiten)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">London Mathematical Society lecture note series</subfield><subfield code="v">28</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This 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.</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9780521215121</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="l">TUM01</subfield><subfield code="p">ZDB-20-CTM</subfield><subfield code="q">TUM_PDA_CTM</subfield><subfield code="u">https://doi.org/10.1017/CBO9780511662386</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CTM</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CTM</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91</subfield></datafield></record></collection> |
id | ZDB-20-CTM-CR9780511662386 |
illustrated | Not Illustrated |
indexdate | 2024-12-18T12:04:31Z |
institution | BVB |
isbn | 9780511662386 |
language | English |
open_access_boolean | |
owner | DE-91 DE-BY-TUM |
owner_facet | DE-91 DE-BY-TUM |
physical | 1 Online-Ressource (105 Seiten) |
psigel | ZDB-20-CTM |
publishDate | 1977 |
publishDateSearch | 1977 |
publishDateSort | 1977 |
publisher | Cambridge University Press |
record_format | marc |
series2 | London Mathematical Society lecture note series |
spelling | Petersen, Karl Endel 1943- Brownian motion, Hardy spaces, and bounded mean oscillation K.E. Petersen Brownian Motion, Hardy Spaces & Bounded Mean Oscillation Cambridge Cambridge University Press 1977 1 Online-Ressource (105 Seiten) txt c cr London Mathematical Society lecture note series 28 This 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. Erscheint auch als Druck-Ausgabe 9780521215121 TUM01 ZDB-20-CTM TUM_PDA_CTM https://doi.org/10.1017/CBO9780511662386 Volltext |
spellingShingle | Petersen, Karl Endel 1943- Brownian motion, Hardy spaces, and bounded mean oscillation |
title | Brownian motion, Hardy spaces, and bounded mean oscillation |
title_alt | Brownian Motion, Hardy Spaces & Bounded Mean Oscillation |
title_auth | Brownian motion, Hardy spaces, and bounded mean oscillation |
title_exact_search | Brownian motion, Hardy spaces, and bounded mean oscillation |
title_full | Brownian motion, Hardy spaces, and bounded mean oscillation K.E. Petersen |
title_fullStr | Brownian motion, Hardy spaces, and bounded mean oscillation K.E. Petersen |
title_full_unstemmed | Brownian motion, Hardy spaces, and bounded mean oscillation K.E. Petersen |
title_short | Brownian motion, Hardy spaces, and bounded mean oscillation |
title_sort | brownian motion hardy spaces and bounded mean oscillation |
url | https://doi.org/10.1017/CBO9780511662386 |
work_keys_str_mv | AT petersenkarlendel brownianmotionhardyspacesandboundedmeanoscillation AT petersenkarlendel brownianmotionhardyspacesboundedmeanoscillation |