Best approximation in the mean by analytic and harmonic functions

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dc.creatorKhavinson, Dmitry
dc.creatorMcCarthy, John E.
dc.creatorShapiro, Harold S.
dc.date1999-08-28
dc.date.accessioned2026-07-07T05:30:33Z
dc.date.available2026-07-07T05:30:33Z
dc.descriptionWe consider the problem of finding the best harmonic or analytic approximant to a given function. We discuss when the best approximant is unique, and what regularity properties the best approximant inherits from the original function. All our approximations are done in the mean with respect to Lebesgue measure in the plane or higher dimensions.
dc.descriptionPlain TeX, 39 pages
dc.identifierhttps://arxiv.org/abs/math/9908154
dc.identifierhttp://arxiv.org/abs/math/9908154
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79023
dc.subjectFunctional Analysis
dc.subjectClassical Analysis and ODEs
dc.titleBest approximation in the mean by analytic and harmonic functions
dc.typetext

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