Recent developments in the theory of Lorentz spaces and weighted inequalities:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Providence, R.I.
American Mathematical Society
2007
|
| Series: | Memoirs of the American Mathematical Society
877 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | "May 2007, volume 187, number 877 (second of 4 numbers)." Includes bibliographical references and index |
| Physical Description: | XI, 128 S. |
| ISBN: | 9780821842379 |
Staff View
MARC
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| 245 | 1 | 0 | |a Recent developments in the theory of Lorentz spaces and weighted inequalities |c María J. Carro ; José A. Raposo ; Javier Soria |
| 264 | 1 | |a Providence, R.I. |b American Mathematical Society |c 2007 | |
| 300 | |a XI, 128 S. | ||
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v 877 | |
| 500 | |a "May 2007, volume 187, number 877 (second of 4 numbers)." | ||
| 500 | |a Includes bibliographical references and index | ||
| 502 | |a Barcelona, Univ., Diss., 1998 u.d.T.: Raposo, José Antonio: Boundedness of maximal functions in harmonic analysis: Teilw. zugl. | ||
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| 650 | 4 | |a Inequalities (Mathematics) | |
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Record in the Search Index
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| adam_text | Contents
Abstract ix
Foreword xi
Introduction 1
1 Boundedness of operators on characteristic functions and the
Hardy operator 5
1.1 Introduction 5
1.2 Boundedness on characteristic functions 6
1.3 The Hardy operator and the classes Bp 15
2 Lorentz spaces 25
2.1 Introduction 25
2.2 Apx(w) spaces 26
2.3 Quasi normed Lorentz spaces 34
2.3.1 Absolutely continuous norm 35
2.3.2 Density of the simple functions and L°° 40
2.4 Duality 43
2.5 Normability 73
2.6 Interpolation of operators 80
3 The Hardy Littlewood maximal operator in weighted Lorentz
spaces 89
3.1 Introduction 89
3.2 Some general results 91
3.3 Strong type boundedness in the diagonal case 97
3.4 Weak type inequality 105
vii
viii CONTENTS
3.5 Applications 120
Bibliography 123
Index 127
|
| adam_txt |
Contents
Abstract ix
Foreword xi
Introduction 1
1 Boundedness of operators on characteristic functions and the
Hardy operator 5
1.1 Introduction 5
1.2 Boundedness on characteristic functions 6
1.3 The Hardy operator and the classes Bp 15
2 Lorentz spaces 25
2.1 Introduction 25
2.2 Apx(w) spaces 26
2.3 Quasi normed Lorentz spaces 34
2.3.1 Absolutely continuous norm 35
2.3.2 Density of the simple functions and L°° 40
2.4 Duality 43
2.5 Normability 73
2.6 Interpolation of operators 80
3 The Hardy Littlewood maximal operator in weighted Lorentz
spaces 89
3.1 Introduction 89
3.2 Some general results 91
3.3 Strong type boundedness in the diagonal case 97
3.4 Weak type inequality 105
vii
viii CONTENTS
3.5 Applications 120
Bibliography 123
Index 127 |
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| discipline | Mathematik |
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| isbn | 9780821842379 |
| language | English |
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| physical | XI, 128 S. |
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| spelling | Carro, María J. 1961- Verfasser (DE-588)173917925 aut Recent developments in the theory of Lorentz spaces and weighted inequalities María J. Carro ; José A. Raposo ; Javier Soria Providence, R.I. American Mathematical Society 2007 XI, 128 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 877 "May 2007, volume 187, number 877 (second of 4 numbers)." Includes bibliographical references and index Barcelona, Univ., Diss., 1998 u.d.T.: Raposo, José Antonio: Boundedness of maximal functions in harmonic analysis: Teilw. zugl. Espaços de lorentz larpcal Fourier-analyse gtt Functieruimten gtt Lorentz-vergelijkingen gtt Ongelijkheden gtt Littlewood-Paley theory Lorentz spaces Inequalities (Mathematics) Lorentz-Raum (DE-588)4299992-3 gnd rswk-swf Littlewood-Paley-Theorem (DE-588)4352642-1 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Littlewood-Paley-Theorem (DE-588)4352642-1 s Lorentz-Raum (DE-588)4299992-3 s DE-604 Raposo, José Antonio 1958-1998 Sonstige (DE-588)173917933 oth Soria, Javier 1962- Sonstige (DE-588)1146947836 oth Memoirs of the American Mathematical Society 877 (DE-604)BV008000141 877 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015631150&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Carro, María J. 1961- Recent developments in the theory of Lorentz spaces and weighted inequalities Memoirs of the American Mathematical Society Espaços de lorentz larpcal Fourier-analyse gtt Functieruimten gtt Lorentz-vergelijkingen gtt Ongelijkheden gtt Littlewood-Paley theory Lorentz spaces Inequalities (Mathematics) Lorentz-Raum (DE-588)4299992-3 gnd Littlewood-Paley-Theorem (DE-588)4352642-1 gnd |
| subject_GND | (DE-588)4299992-3 (DE-588)4352642-1 (DE-588)4113937-9 |
| title | Recent developments in the theory of Lorentz spaces and weighted inequalities |
| title_auth | Recent developments in the theory of Lorentz spaces and weighted inequalities |
| title_exact_search | Recent developments in the theory of Lorentz spaces and weighted inequalities |
| title_exact_search_txtP | Recent developments in the theory of Lorentz spaces and weighted inequalities |
| title_full | Recent developments in the theory of Lorentz spaces and weighted inequalities María J. Carro ; José A. Raposo ; Javier Soria |
| title_fullStr | Recent developments in the theory of Lorentz spaces and weighted inequalities María J. Carro ; José A. Raposo ; Javier Soria |
| title_full_unstemmed | Recent developments in the theory of Lorentz spaces and weighted inequalities María J. Carro ; José A. Raposo ; Javier Soria |
| title_short | Recent developments in the theory of Lorentz spaces and weighted inequalities |
| title_sort | recent developments in the theory of lorentz spaces and weighted inequalities |
| topic | Espaços de lorentz larpcal Fourier-analyse gtt Functieruimten gtt Lorentz-vergelijkingen gtt Ongelijkheden gtt Littlewood-Paley theory Lorentz spaces Inequalities (Mathematics) Lorentz-Raum (DE-588)4299992-3 gnd Littlewood-Paley-Theorem (DE-588)4352642-1 gnd |
| topic_facet | Espaços de lorentz Fourier-analyse Functieruimten Lorentz-vergelijkingen Ongelijkheden Littlewood-Paley theory Lorentz spaces Inequalities (Mathematics) Lorentz-Raum Littlewood-Paley-Theorem Hochschulschrift |
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