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Sets of determination and kernels of certain associated operators
Published online by Cambridge University Press: 30 April 2010
Abstract
Let m be a measure supported on a relatively closed subset X of the unit disc. If f is a bounded function on the unit circle, let fm denote the restriction to X of the harmonic extension of f to the unit disc. We characterize those m such that the pre-adjoint of the linear map f → fm has a non-trivial kernel.
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- Copyright © Edinburgh Mathematical Society 2010