Isomorphisms Between H¹ Spaces: 66 (Monografie Matematyczne) by Paul F.X. Müller

By Paul F.X. Müller

This publication supplies a radical and self contained presentation of H¹, its identified isomorphic invariants and a whole type of H¹ on areas of homogeneous kind. the required heritage is built from scratch. This encompasses a unique dialogue of the Haar approach, including the operators that may be outfitted from it. entire proofs are given for the classical martingale inequalities, and for big deviation inequalities. complicated interpolation is handled. Througout, unique consciousness is given to the combinatorial tools built within the box. a complete bankruptcy is dedicated to check the combinatorics of colored dyadic Intervals.

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