Vol. 125, No. 2, 1986

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Counting functions and majorization for Jensen measures

Charles Stuart Stanton

Vol. 125 (1986), No. 2, 459–468
Abstract

We establish a generalization for uniform algebras of the classical identities of Hardy and Stein. We use this and an estimate based on the isoperimetric inequality to give a proof of H. Alexander’s spectral area theorem. We use similar methods to prove a theorem of Axler and Shapiro about VMOA of the unit ball in Cn.

Mathematical Subject Classification 2000
Primary: 32A22
Secondary: 31C05, 32A35, 32A40, 32E25, 46J10
Milestones
Received: 6 June 1985
Published: 1 December 1986
Authors
Charles Stuart Stanton