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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