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An argument of a function in <i>H</i><sup>1/2</sup>

An argument of a function in <i>H</i><sup>1/2</sup>

Abstract Let H 1/2 be the Hardy space on the open unit disc. For two non-zero functions f and g in H 1/2 , we study the relation between f and g when f/g ≥ 0 a.e. on ∂D. Then we generalize a theorem of Neuwirth and Newman and Helson …