Titlebook: Classical Fourier Analysis; Loukas Grafakos Textbook 2014Latest edition Springer Science+Business Media, LLC, part of Springer Nature 2014

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Maximal Functions, Fourier Transform, and Distributions, Averaging is an important operation in analysis and naturally arises in many situations. The study of averages of functions is better understood by the introduction of the maximal function which is defined as the largest average of a function over all balls containing a fixed point. Maximal functio

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Digest

Weighted Inequalities,ample, the theory of weights plays an important role in the study of boundary value problems for Laplace’s equation on Lipschitz domains. Other applications of weighted inequalities include extrapolation theory, vector-valued inequalities, and estimates for certain classes of nonlinear partial diffe

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排他

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種屬關(guān)系

Romance in the East: An Introduction,of Fourier series and Bochner–Riesz summability. We also study transference of multipliers on the torus and of maximal multipliers. This is a powerful technique that allows one to infer results concerning Fourier series from corresponding results about Fourier integrals and vice versa.

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https://doi.org/10.1057/978-1-137-59929-2ample, the theory of weights plays an important role in the study of boundary value problems for Laplace’s equation on Lipschitz domains. Other applications of weighted inequalities include extrapolation theory, vector-valued inequalities, and estimates for certain classes of nonlinear partial differential equations.