DOIAbstract
AbstractIn this paper we establish the fundamental properties of concentration at a radius for functions in the classical Hardy space on the unit disk. For f(z) which is not identically zero and given r, 0<r<1, the concentration is defined via the ratio of the norm of f(rz) to the norm of f(z). Using the Mahler measure of f(z), we obtain information on the distribution of the zeros of f(z) in terms of the concentration ratio. In the last section of the paper, we examine the sharpness of concentration estimates for the Blaschke factor
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