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Journal of the London Mathematical Society 1992 s2-46(1):171-179; doi:10.1112/jlms/s2-46.1.171
© 1992 by London Mathematical Society
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© Oxford University Press

Quadrature and Harmonic Approximation of Subharmonic Functions in Strips

D. H. Armitage and M. Goldstein

Department of Pure Mathematics, The Queen's University of Belfast Belfast BT7 1NN
Department of Mathematics, Arizona State University Tempe, Arizona 85287 USA

Open sets D in RN (N ≥ 2) with the property that Formula is a closed strip (that is, a set of the form [a, b]xRN–1) are characterized by a quadrature formula for harmonic functions. This characterization is used to prove a theorem on approximation in the L1 norm of subharmonic functions in strips by harmonic functions.


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