Ju n 19 90 Permutations of the Haar system

  title={Ju n 19 90 Permutations of the Haar system},
  author={Paul F. X. M{\"u}ller},
General permutations acting on the Haar system are investigated. We give a necessary and sufficient condition for permutations to induce an isomorphism on dyadic BMO. Extensions of this characterization to Lip-schitz spaces Λ 1 p −1 , (0 < p ≤ 1) are obtained. When specialized to permutations which act on one level of the Haar system only, our approach… CONTINUE READING