Overview: Study of dyadic H^1, its isomorphic invariants and its position within the two classes of martingale and atomic H^1 spaces, and simultaneously, a detailed analysis of the Haar system.Only basic knowle.This book presents a thorough and self-contained presentation of H¹ and its known isomorphic invariants, such as the uniform approximation property, the dimension conjecture, and dichotomies for the complemented subspaces. .The necessary background is developed from scratch. This includes a detailed discussion of the Haar system, together with the operators that can be built from it (av
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