1 Euclidean space .............................................. 9
2 Littlewood-Paley theory on homogeneous spaces ............... 15
2.1 The Littlewood-Paley inequality ........................ 15
2.2 Almost-orthogonality for a doubling measure ............ 27
3 Harmonic functions on bounded Lipschitz domains ............. 38
3.1 Lipschitz domains ...................................... 39
3.2 The weighted-norm theorem .............................. 41
4 Elliptic functions .......................................... 47
References ..................................................... 52
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