Weighted Littlewood-Paley Theory and Exponential-Square IntegrabilitySpringer, 31 dec. 2007 - 227 pagini Littlewood-Paley theory is an essential tool of Fourier analysis, with applications and connections to PDEs, signal processing, and probability. It extends some of the benefits of orthogonality to situations where orthogonality doesn’t really make sense. It does so by letting us control certain oscillatory infinite series of functions in terms of infinite series of non-negative functions. Beginning in the 1980s, it was discovered that this control could be made much sharper than was previously suspected. The present book tries to give a gentle, well-motivated introduction to those discoveries, the methods behind them, their consequences, and some of their applications. |
Din interiorul cărții
Rezultatele 1 - 5 din 28
... depending only on p , so that , for all ƒ Є Lo ( R ) , Cp | lf | lp≤ || S ( f ) | p = Cp | lf | lp ( 2.12 ) We will prove Theorem 2.1 shortly . However , before doing so , we wish to describe one possible application of an inequality ...
... depending only p , such that , for all ƒ € Lo , || Ma ( f ) || p ≤ Cp || f || p · ( 2.13 ) We will prove Theorem 2.2 , and we will apply some ideas from the proof to investigate the " fine structure " of Ma . ( These fine structure ...
Ți-ai atins limita de vizualizări pentru această carte.
Ți-ai atins limita de vizualizări pentru această carte.
Ți-ai atins limita de vizualizări pentru această carte.
Cuprins
1 | |
9 | |
Exponential Square 39 | 40 |
Many Dimensions Smoothing | 69 |
The Calderón Reproducing Formula I | 85 |
The Calderón Reproducing Formula II | 101 |
The Calderón Reproducing Formula III | 129 |
Schrödinger Operators 145 | 144 |
Orlicz Spaces | 161 |
Goodbye to GoodX | 189 |
A Fourier Multiplier Theorem | 197 |
VectorValued Inequalities | 203 |
Random Pointwise Errors | 213 |
References | 219 |
Index 223 | 222 |
Some Singular Integrals | 151 |
Alte ediții - Afișează-le pe toate
Weighted Littlewood-Paley Theory and Exponential-Square ..., Ediția 1924 Michael Wilson Previzualizare limitată - 2008 |