Some applications of geometry of Banach spaces to harmonic analysis
Some inequalities of isoperimetric type for the integral means of analytic functions
Subsets of Hardy-class zero sets in the ball.
We consider the problem of whether the union of complex hyperplanes can be a subset of a zero variety for the Hardy classes of the ball. A sufficient condition is found, consisting in a strong geometric separatedness requirement, together with a quantitative requirement slightly stronger than the necessary condition for Nevanlinna class zero varieties.
Sur un problème de W. Rudin concernant les fonctions holomorphes et borneés