Metric properties of harmonic measures:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, R.I.
American Mathematical Society
2006
|
| Series: | Memoirs of the American Mathematical Society
867 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | "Volume 184, number 867 (third of 4 numbers)." Includes bibliographical references and index |
| Physical Description: | VI, 163 S. graph. Darst. |
| ISBN: | 0821839942 9780821839942 |
Staff View
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v 867 | |
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| 650 | 4 | |a Inequalities (Mathematics) | |
| 650 | 4 | |a Smoothness of functions | |
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Record in the Search Index
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| adam_text | Contents
1 Introduction 1
2 Metric properties of harmonic measures, Green functions and equi¬
librium measures 4
2.1 Notations and some basic results from potential theory 6
2.2 Preliminary estimates 10
2.3 Proof of Theorem 2.3 for E C [0,1] 15
2.4 Proof of Theorem 2.2 19
2.5 Proof of Theorem 2.1 23
2.6 Proof of Theorem 2.3 24
3 Sharpness 28
3.1 Proof of Theorem 3.1 and its corollaries 29
4 Higher order smoothness 35
5 Cantor type sets 44
5.1 Preliminaries for Cantor sets 45
5.2 Proof of Theorems 5.1 and 5.3 53
Proof of Theorem 5.9 53
Proof of Theorem 5.1 60
Proof of Theorem 5.3 70
6 Phargmen Lindelof type theorems 74
6.1 Proof of Theorem 6.2 78
7 Markov and Bernstein type inequalities 107
7.1 Proof of Theorems 7.1, 7.2 and 7.3 109
8 Fast decreasing polynomials 113
9 Remez and Schur type inequalities 123
10 Approximation on compact sets 126
11 Appendix 147
11.1 Discretizing logarithmic integrals 147
11.2 Some lemmas on 0 integrals 153
12 References 157
13 List of symbols 160
14 List of figures 161
15 Index 162
v
|
| adam_txt |
Contents
1 Introduction 1
2 Metric properties of harmonic measures, Green functions and equi¬
librium measures 4
2.1 Notations and some basic results from potential theory 6
2.2 Preliminary estimates 10
2.3 Proof of Theorem 2.3 for E C [0,1] 15
2.4 Proof of Theorem 2.2 19
2.5 Proof of Theorem 2.1 23
2.6 Proof of Theorem 2.3 24
3 Sharpness 28
3.1 Proof of Theorem 3.1 and its corollaries 29
4 Higher order smoothness 35
5 Cantor type sets 44
5.1 Preliminaries for Cantor sets 45
5.2 Proof of Theorems 5.1 and 5.3 53
Proof of Theorem 5.9 53
Proof of Theorem 5.1 60
Proof of Theorem 5.3 70
6 Phargmen Lindelof type theorems 74
6.1 Proof of Theorem 6.2 78
7 Markov and Bernstein type inequalities 107
7.1 Proof of Theorems 7.1, 7.2 and 7.3 109
8 Fast decreasing polynomials 113
9 Remez and Schur type inequalities 123
10 Approximation on compact sets 126
11 Appendix 147
11.1 Discretizing logarithmic integrals 147
11.2 Some lemmas on 0 integrals 153
12 References 157
13 List of symbols 160
14 List of figures 161
15 Index 162
v |
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| isbn | 0821839942 9780821839942 |
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| physical | VI, 163 S. graph. Darst. |
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| spelling | Totik, Vilmos 1954- Verfasser (DE-588)111480485 aut Metric properties of harmonic measures Vilmos Totik Providence, R.I. American Mathematical Society 2006 VI, 163 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 867 "Volume 184, number 867 (third of 4 numbers)." Includes bibliographical references and index Fonctions de lissage Fonctions harmoniques Green, Fonctions de Inégalités (Mathématiques) Potentiaaltheorie gtt Harmonic functions Green's functions Inequalities (Mathematics) Smoothness of functions Cantor-Menge (DE-588)4288370-2 gnd rswk-swf Green-Funktion (DE-588)4158123-4 gnd rswk-swf Ungleichung (DE-588)4139098-2 gnd rswk-swf Glattheit Mathematik (DE-588)4301805-1 gnd rswk-swf Harmonisches Maß (DE-588)4159134-3 gnd rswk-swf Green-Funktion (DE-588)4158123-4 s Harmonisches Maß (DE-588)4159134-3 s Cantor-Menge (DE-588)4288370-2 s Glattheit Mathematik (DE-588)4301805-1 s Ungleichung (DE-588)4139098-2 s DE-604 Memoirs of the American Mathematical Society 867 (DE-604)BV008000141 867 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015049500&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Totik, Vilmos 1954- Metric properties of harmonic measures Memoirs of the American Mathematical Society Fonctions de lissage Fonctions harmoniques Green, Fonctions de Inégalités (Mathématiques) Potentiaaltheorie gtt Harmonic functions Green's functions Inequalities (Mathematics) Smoothness of functions Cantor-Menge (DE-588)4288370-2 gnd Green-Funktion (DE-588)4158123-4 gnd Ungleichung (DE-588)4139098-2 gnd Glattheit Mathematik (DE-588)4301805-1 gnd Harmonisches Maß (DE-588)4159134-3 gnd |
| subject_GND | (DE-588)4288370-2 (DE-588)4158123-4 (DE-588)4139098-2 (DE-588)4301805-1 (DE-588)4159134-3 |
| title | Metric properties of harmonic measures |
| title_auth | Metric properties of harmonic measures |
| title_exact_search | Metric properties of harmonic measures |
| title_exact_search_txtP | Metric properties of harmonic measures |
| title_full | Metric properties of harmonic measures Vilmos Totik |
| title_fullStr | Metric properties of harmonic measures Vilmos Totik |
| title_full_unstemmed | Metric properties of harmonic measures Vilmos Totik |
| title_short | Metric properties of harmonic measures |
| title_sort | metric properties of harmonic measures |
| topic | Fonctions de lissage Fonctions harmoniques Green, Fonctions de Inégalités (Mathématiques) Potentiaaltheorie gtt Harmonic functions Green's functions Inequalities (Mathematics) Smoothness of functions Cantor-Menge (DE-588)4288370-2 gnd Green-Funktion (DE-588)4158123-4 gnd Ungleichung (DE-588)4139098-2 gnd Glattheit Mathematik (DE-588)4301805-1 gnd Harmonisches Maß (DE-588)4159134-3 gnd |
| topic_facet | Fonctions de lissage Fonctions harmoniques Green, Fonctions de Inégalités (Mathématiques) Potentiaaltheorie Harmonic functions Green's functions Inequalities (Mathematics) Smoothness of functions Cantor-Menge Green-Funktion Ungleichung Glattheit Mathematik Harmonisches Maß |
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