Front cover image for Weighted Littlewood-Paley Theory and Exponential-Square Integrability

Weighted Littlewood-Paley Theory and Exponential-Square Integrability

Littlewood-Paley theory is an essential tool of Fourier analysis, with applications and connections to PDEs, signal processing, and probability. It does so by letting us control certain oscillatory infinite series of functions in terms of infinite series of non-negative functions.
eBook, English, 2008
Springer-Verlag Berlin Heidelberg, Berlin, Heidelberg, 2008
1 online resource
9783540745822, 9783540745877, 3540745823, 3540745874
1012558954
Some Assumptions.- An Elementary Introduction.- Exponential Square.- Many Dimensions; Smoothing.- The Calderón Reproducing Formula I.- The Calderón Reproducing Formula II.- The Calderón Reproducing Formula III.- Schrödinger Operators.- Some Singular Integrals.- Orlicz Spaces.- Goodbye to Good-?.- A Fourier Multiplier Theorem.- Vector-Valued Inequalities.- Random Pointwise Errors.