Hilbert transform associated with finite maximal subdiagonal algebras

Details Hilbert transform associated with finite maximal subdiagonal algebras Hilbert transform associated with finite maximal subdiagonal algebras

1997-02-24

arxiv.org/abs/math/9702215v1

Mathematics

Functional Analysis

Scientific paper

Let $M$ be a von Neumann algebra with a faithful normal finite trace $t$, and $H^\infty$ be a finite, maximal, subdiagonal of $M$. Fundamental theorems on conjugate functions for weak* Dirichlet algebras are shown to be a bounded linear map from $L^p(M,t)$ into $L^p(M,t)$ for $1

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