Abstract: Maximal functions are of great interest in Harmonic Analysis, PDEs, Ergodic theory and other areas of Mathematics and their study goes back to the time of Hardy and Littlewood. In this talk, firstly, we shall see how they arise very naturally and how to obtain useful estimates for Maximal functions on Euclidean spaces using covering lemmas. The rest of the talk is dedicated to the analysis of two typical scenarios: the first one is the study of Maximal functions in the absence of covering arguments, and the second is the study of Maximal functions arising from wave equations

Meeting id: 948 0044 7244
Passcode: 597063