1 Introduction ................................................. 5
2 Preliminaries ................................................ 9
2.1 Aploc( n) weights ....................................... 9
2.2 Orlicz functions ....................................... 12
3 Weighted local Orlicz-Hardy spaces and their maximal
function characterizations .................................. 13
4 Calderon-Zygmund decompositions ............................. 29
5 Weighted atomic decompositions of hΦω,N(n) ................. 34
6 Finite atomic decompositions ................................ 41
7 Dual spaces ................................................. 49
8 Some applications ........................................... 58
References ..................................................... 76
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