Maximal Function
Maximal functions appear in many forms in harmonic analysis (an area of mathematics). One of the most important of these is the Hardy–Littlewood maximal function. They play an important role in understanding, for example, the differentiability properties of functions, singular integrals and partial differential equations. They often provide a deeper and more simplified approach to understanding problems in these areas than other methods.
Read more about Maximal Function: The Hardy–Littlewood Maximal Function, Non-tangential Maximal Functions, The Sharp Maximal Function, Maximal Functions in Ergodic Theory, References
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“The more books we read, the clearer it becomes that the true function of a writer is to produce a masterpiece and that no other task is of any consequence.”
—Cyril Connolly (1903–1974)