Topics in almost everywhere convergence:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Chicago
Markham
1970
|
| Series: | Lectures in advanced mathematics
4 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 154 S. |
| ISBN: | 0841019088 084101910X |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804118384688758784 |
|---|---|
| adam_text | CONTENTS
Preface v
1 SOME BASIC PRINCIPLES 1
1.1 Banach s Principle 1
1.2 The Estimates of Kolmogorov and Stein 4
1.3 Sawyer s Extension 13
2 SOME ERGODIC THEORY 16
2.1 Mean Ergodic Theorems 16
2.2 Maximal Ergodic Inequalities 22
2.3 The Theorem of Dunford and Schwartz 27
2.4 The Theorem of Chacon and Ornstein 30
2.5 Some Basic Properties of Positive Operators 34
2.6 Convergence when 1) + T t + ¦ • • + T i oo a.e. 38
2.7 Brunei s Inequality 42
2.8 Convergence and Identification of the Limit in the General
Case 49
3 COMBINATORIAL INEQUALITIES AND CON¬
VERGENCE ALMOST EVERYWHERE OF SOME
ORTHOGONAL EXPANSIONS 54
3.1 Jensen Type Inequalities 55
3.2 Inequalities for Martingales 59
3.3 Yet Another Proof of the Martingale Theorem 62
3.4 Some Well Behaved Orthonormal Systems 68
3.5 Lp Estimates for Sums of Independent Random Variables
73
3.6 Some Combinatorial Inequalities 78
3.7 A Proof of the Combinatorial Inequalities 86
3.8 Historical Remarks and Further Inequalities 93
ix
x CONTENTS
4 CARLESON S log log « RESULT 98
4.1 Preliminaries 98
4.2 The Hardy Littlewood Function 103
4.3 Existence and Maximal Estimates for the Hilbert Trans¬
form 112
4.4 The Exponential Estimate for the Maximal Hilbert
Transform 119
4.5 Two Lemmas of Carleson 129
4.6 Carleson s Fundamental Step 133
4.7 The log log n Estimate 141
References 152
|
| any_adam_object | 1 |
| author | Garsia, Adriano Mario 1928- |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:09:27Z |
| institution | BVB |
| isbn | 0841019088 084101910X |
| language | English |
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| physical | X, 154 S. |
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| publishDate | 1970 |
| publishDateSearch | 1970 |
| publishDateSort | 1970 |
| publisher | Markham |
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| series | Lectures in advanced mathematics |
| series2 | Lectures in advanced mathematics |
| spelling | Garsia, Adriano Mario 1928- Verfasser (DE-588)1074858115 aut Topics in almost everywhere convergence Adriano M. Garsia Chicago Markham 1970 X, 154 S. txt rdacontent n rdamedia nc rdacarrier Lectures in advanced mathematics 4 Convergence (Mathématiques) Convergentie (wiskunde) gtt Ergodiciteit gtt Fonctions (Mathématiques) Fourier-analyse gtt Convergence Ergodic theory Fourier series Inequalities (Mathematics) Lectures in advanced mathematics 4 (DE-604)BV004174449 4 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002602572&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Garsia, Adriano Mario 1928- Topics in almost everywhere convergence Lectures in advanced mathematics Convergence (Mathématiques) Convergentie (wiskunde) gtt Ergodiciteit gtt Fonctions (Mathématiques) Fourier-analyse gtt Convergence Ergodic theory Fourier series Inequalities (Mathematics) |
| title | Topics in almost everywhere convergence |
| title_auth | Topics in almost everywhere convergence |
| title_exact_search | Topics in almost everywhere convergence |
| title_full | Topics in almost everywhere convergence Adriano M. Garsia |
| title_fullStr | Topics in almost everywhere convergence Adriano M. Garsia |
| title_full_unstemmed | Topics in almost everywhere convergence Adriano M. Garsia |
| title_short | Topics in almost everywhere convergence |
| title_sort | topics in almost everywhere convergence |
| topic | Convergence (Mathématiques) Convergentie (wiskunde) gtt Ergodiciteit gtt Fonctions (Mathématiques) Fourier-analyse gtt Convergence Ergodic theory Fourier series Inequalities (Mathematics) |
| topic_facet | Convergence (Mathématiques) Convergentie (wiskunde) Ergodiciteit Fonctions (Mathématiques) Fourier-analyse Convergence Ergodic theory Fourier series Inequalities (Mathematics) |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002602572&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004174449 |
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