Interpolation problems in function spaces
dc.contributor.author | Duren, Peter L. | en_US |
dc.contributor.author | Williams, D. L. | en_US |
dc.date.accessioned | 2006-04-17T16:53:32Z | |
dc.date.available | 2006-04-17T16:53:32Z | |
dc.date.issued | 1972-01 | en_US |
dc.identifier.citation | Duren, P. L., Williams, D. L. (1972/01)."Interpolation problems in function spaces." Journal of Functional Analysis 9(1): 75-86. <http://hdl.handle.net/2027.42/34190> | en_US |
dc.identifier.uri | http://www.sciencedirect.com/science/article/B6WJJ-4D8DWCH-1V/2/fde5c53a625b5f166b6ee87c4316733c | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/34190 | |
dc.description.abstract | Let D be a domain in the complex plane, let {zn} be a sequence of distinct points in D, and let {wn} be an arbitrary sequence of complex numbers. Given a space E of functions on D, the problem arises to characterize the pairs of sequences {zn} and {wn} for which there is a function [function of (italic small f)]; [epsilon] E with [function of (italic small f)];(zn) = wn, n = 1, 2,.... In the present paper, we solve a general interpolation problem of this type. We then apply the result to obtain criteria for interpolation by Hp functions, 1 [les] p [les] [infinity], by harmonic functions of class hp, and by functions belonging to certain Hilbert spaces. The main tool is a general theorem, closely related to the Hahn-Banach theorem, on the extension of functionals over normed linear spaces. | en_US |
dc.format.extent | 520545 bytes | |
dc.format.extent | 3118 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Elsevier | en_US |
dc.title | Interpolation problems in function spaces | en_US |
dc.type | Article | en_US |
dc.rights.robots | IndexNoFollow | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48104, USA | en_US |
dc.contributor.affiliationother | Department of Mathematics, Syracuse University, Syracuse, New York 13210, USA | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/34190/1/0000479.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1016/0022-1236(72)90015-8 | en_US |
dc.identifier.source | Journal of Functional Analysis | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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