Decomposition Theorems and Conjugate Pair in DK Spaces

(整期优先)网络出版时间:2014-09-19
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LetKbearight-continuousandnondecreasingfunction.AfunctionfanalyticintheunitdiskDbelongstothespaceDKifD|f(z)|2K(1-|z|2)dA(z)<∞.DecompositiontheoremsforDKspacesareestablishedinthispaper.Asanapplication,weobtainacharacterizationofinterpolationbyfunctionsinDKspaces.Furthermore,wecharacterizefunctionsinDKspacesbyconjugatepairs.