Function Analysis

Published: 26 November 2020| Version 1 | DOI: 10.17632/c5nv9fzn5m.1
Muhammad Faris Adi Prabowo


We discuss various approaches to this subject, including covering lemmas, interpolation theorems, the Fourier transform method, the g-function argument, the Mellin transform technique, and Lie group and representation theoretic arguments. We obtain, in particular, some results for maximal functions associated to distributions on R^n and a generalization of those on compact semisimple Lie groups.