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Writing

Lecture notes

Notes I've written up while studying or teaching. Read them here in the browser. They're working documents, and corrections are welcome.

Harmonic Analysis

PDF Lecture 1: Maximal functions Locally integrable functions, the centred and uncentred Hardy–Littlewood maximal functions, and the comparison between them. Sep 2026 PDF Lecture 2: Marcinkiewicz interpolation Decomposing $L^p$ into $L^q + L^r$, linear and sublinear operators, weak and strong type, and the Marcinkiewicz interpolation theorem. Sep 2026