Book Details


Weighted Littlewood-Paley Theory and Exponential-Square Integrability

Publication year: 2008

ISBN: 978-3-540-74587-7

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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.

Subject: Mathematics and Statistics, Singular integral, Square function, exponential-square, maximal function, weighted inequality, partial differential equations