Covering Lemmas, Gaussian Maximal Functions, and Calderón–Zygmund Operators

2019 
Maximal functions are among the most important operators in harmonic analysis and are some of those that are most studied. Averaging is an important operation in analysis and to understand and simplify its study, maximal functions are introduced. Moreover, for any limit process such as almost sure convergence, there is a maximal function that controls it; therefore, the study of their properties is crucial.
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