# Maximal function

**Maximal functions** play an important role in understanding, for example, the differentiability properties of functions, singular integrals and partial differential equations.

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## Quotes edit

- It is well known that maximal functions of various types control various modes of convergence. From the classical Hardy–Littlewood maximal function to certain spherical maximal functions in Harmonic Analysis to maximal operators in Functional Analysis, this is an idea that has been played and replayed throughout analysis.
- V. G. Mazʹi︠a︡ (1 September 1999).
*The Maz'ya Anniversary Collection: Volume 2: Rostock Conference on Functional Analysis, Partial Differential Equations and Applications*. Springer Science & Business Media. p. 1. ISBN 978-3-7643-6202-7.

- V. G. Mazʹi︠a︡ (1 September 1999).