| 000 | 03132nam a22004575i 4500 | ||
|---|---|---|---|
| 001 | 978-3-0348-0072-3 | ||
| 003 | DE-He213 | ||
| 005 | 20140220083739.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 110406s2011 sz | s |||| 0|eng d | ||
| 020 |
_a9783034800723 _9978-3-0348-0072-3 |
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| 024 | 7 |
_a10.1007/978-3-0348-0072-3 _2doi |
|
| 050 | 4 | _aQA299.6-433 | |
| 072 | 7 |
_aPBK _2bicssc |
|
| 072 | 7 |
_aMAT034000 _2bisacsh |
|
| 082 | 0 | 4 |
_a515 _223 |
| 100 | 1 |
_aCruz-Uribe, David V. _eauthor. |
|
| 245 | 1 | 0 |
_aWeights, Extrapolation and the Theory of Rubio de Francia _h[electronic resource] / _cby David V. Cruz-Uribe, José Maria Martell, Carlos Pérez. |
| 264 | 1 |
_aBasel : _bSpringer Basel, _c2011. |
|
| 300 |
_aXIV, 282 p. _bonline resource. |
||
| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 |
_aOperator Theory: Advances and Applications ; _v215 |
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| 505 | 0 | _aPreface -- Preliminaries -- Part I. One-Weight Extrapolation -- Chapter 1. Introduction to Norm Inequalities and Extrapolation -- Chapter 2. The Essential Theorem -- Chapter 3. Extrapolation for Muckenhoupt Bases -- Chapter 4. Extrapolation on Function Spaces -- Part II. Two-Weight Factorization and Extrapolation -- Chapter 5. Preliminary Results -- Chapter 6. Two-Weight Factorization -- Chapter 7. Two-Weight Extrapolation -- Chapter 8. Endpoint and A1 Extrapolation -- Chapter 9. Applications of Two-Weight Extrapolation -- Chapter 10. Further Applications of Two-Weight Extrapolation -- Appendix A. The Calderón-Zygmund Decomposition -- Bibliography -- Index. | |
| 520 | _aThis book provides a systematic development of the Rubio de Francia theory of extrapolation, its many generalizations and its applications to one and two-weight norm inequalities. The book is based upon a new and elementary proof of the classical extrapolation theorem that fully develops the power of the Rubio de Francia iteration algorithm. This technique allows us to give a unified presentation of the theory and to give important generalizations to Banach function spaces and to two-weight inequalities. We provide many applications to the classical operators of harmonic analysis to illustrate our approach, giving new and simpler proofs of known results and proving new theorems. The book is intended for advanced graduate students and researchers in the area of weighted norm inequalities, as well as for mathematicians who want to apply extrapolation to other areas such as partial differential equations. | ||
| 650 | 0 | _aMathematics. | |
| 650 | 0 | _aGlobal analysis (Mathematics). | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aAnalysis. |
| 700 | 1 |
_aMartell, José Maria. _eauthor. |
|
| 700 | 1 |
_aPérez, Carlos. _eauthor. |
|
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783034800716 |
| 830 | 0 |
_aOperator Theory: Advances and Applications ; _v215 |
|
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-3-0348-0072-3 |
| 912 | _aZDB-2-SMA | ||
| 999 |
_c106587 _d106587 |
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