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Titel:	Probabilistic behavior of harmonic functions
Von:	Rodrigo Bañuelos ; Charles N. Moore
Person:	Bañuelos, Rodrigo aut Moore, Charles Napoleon 1882-1967
Hauptverfassende:	Bañuelos, Rodrigo (VerfasserIn), Moore, Charles Napoleon 1882-1967 (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Basel ; Boston ; Berlin Birkhäuser Verlag [1999]
Schriftenreihe:	Progress in mathematics Volume 175
Notation:	SK 450 SK 820
Schlagwörter:	Fonctions harmoniques Probabilités Harmonic functions Probabilities Martingaltheorie Harmonische Funktion
Medienzugang:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008539896&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Beschreibung:	Literaturverz. S. 191 - 199
Umfang:	xiv, 204 Seiten
ISBN:	3764360623 0817660623

Internformat

MARC


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Datensatz im Suchindex

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adam_text	Contents Preface vii 1 Basic Ideas and Tools 1 1.1 Harmonic functions and their basic properties 1 1.2 The Poisson kernel and Dirichlet problem for the ball 5 1.3 The Poisson kernel and Dirichlet problem for K +1 10 1.4 The Hardy Littlewood and nontangential maximal functions .... 15 1.5 Hp spaces on the upper half space 20 1.6 Some basics on singular integrals 28 1.7 The ^ function and area function 31 1.8 Classical results on boundary behavior 43 2 Decomposition into Martingales: An Invariance Principle 45 2.1 Square function estimates for sums of atoms 50 2.2 Decomposition of harmonic functions 55 2.3 Controlling errors: gradient estimates 60 3 Kolmogorov s LIL for Harmonic Functions 63 3.1 The proof of the upper half 67 3.2 The proof of the lower half 75 3.3 The sharpness of the Kolmogorov condition 81 3.4 A related LIL for the Littlewood Paley (^ function 86 4 Sharp Good A Inequalities for A and N 93 4.1 Sharp control of N by A 98 4.2 Sharp control of A by N 102 4.3 Application I. A Chung type LIL for harmonic functions 119 4.4 Application II. The Burkholder Gundy I theorem 124 xiii xiv Contents 5 Good A Inequalities for the Density of the Area Integral 135 5.1 Sharp control of A and N by D 140 5.2 Sharp control of D by A and N 148 5.3 Application I. A Kesten type LIL and sharp Lp constants 165 5.4 Application II. The Brossard Chevalier L log L result 167 6 The Classical LIL s in Analysis 173 6.1 LIL s for lacunary series 173 6.2 LIL s for Bloch functions 178 6.3 LIL s for subclasses of the Bloch space 180 6.4 On a question of Makarov and Przytycki 185 References 191 Subject Index 200 Notation Index 203
any_adam_object	1
author	Bañuelos, Rodrigo Moore, Charles Napoleon 1882-1967
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id	DE-604.BV012574597
illustrated	Not Illustrated
indexdate	2024-12-20T10:32:40Z
institution	BVB
isbn	3764360623 0817660623
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-008539896
oclc_num	41504986
open_access_boolean
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physical	xiv, 204 Seiten
publishDate	1999
publishDateSearch	1999
publishDateSort	1999
publisher	Birkhäuser Verlag
record_format	marc
series	Progress in mathematics
series2	Progress in mathematics
spellingShingle	Bañuelos, Rodrigo Moore, Charles Napoleon 1882-1967 Probabilistic behavior of harmonic functions Progress in mathematics Fonctions harmoniques Fonctions harmoniques ram Probabilités Probabilités ram Harmonic functions Probabilities Martingaltheorie (DE-588)4168982-3 gnd Harmonische Funktion (DE-588)4159122-7 gnd
subject_GND	(DE-588)4168982-3 (DE-588)4159122-7
title	Probabilistic behavior of harmonic functions
title_auth	Probabilistic behavior of harmonic functions
title_exact_search	Probabilistic behavior of harmonic functions
title_full	Probabilistic behavior of harmonic functions Rodrigo Bañuelos ; Charles N. Moore
title_fullStr	Probabilistic behavior of harmonic functions Rodrigo Bañuelos ; Charles N. Moore
title_full_unstemmed	Probabilistic behavior of harmonic functions Rodrigo Bañuelos ; Charles N. Moore
title_short	Probabilistic behavior of harmonic functions
title_sort	probabilistic behavior of harmonic functions
topic	Fonctions harmoniques Fonctions harmoniques ram Probabilités Probabilités ram Harmonic functions Probabilities Martingaltheorie (DE-588)4168982-3 gnd Harmonische Funktion (DE-588)4159122-7 gnd
topic_facet	Fonctions harmoniques Probabilités Harmonic functions Probabilities Martingaltheorie Harmonische Funktion
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008539896&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000004120
work_keys_str_mv	AT banuelosrodrigo probabilisticbehaviorofharmonicfunctions AT moorecharlesnapoleon probabilisticbehaviorofharmonicfunctions

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