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简介:LetKbearight-continuousandnondecreasingfunction.AfunctionfanalyticintheunitdiskDbelongstothespaceDKifD|f(z)|2K(1-|z|2)dA(z)<∞.DecompositiontheoremsforDKspacesareestablishedinthispaper.Asanapplication,weobtainacharacterizationofinterpolationbyfunctionsinDKspaces.Furthermore,wecharacterizefunctionsinDKspacesbyconjugatepairs.
简介:ThispaperdiscussesproblemIEP:Givenn×mmatrixXandm×mdiagonalmatrixA,findann×nmatrixAsuchthatAX=XA.ThenewsolvablilyconditionsfortheproblemIEPareobtained.TheeigenvaluedislribulaionofthesolutionsfortheproblemIEParedescribedindetail.
简介:WiththeaidofMullin-Rota'ssubstitutionrule,weshowthattheSheffertypedifferentialoperatorstogetherwiththedeltaoperatorsDandDcouldbeusedtoconstructapairofexpansionformulasthatimplyawidevarietyofsummationformulasinthediscreteanalysisandcombinatorics.Aconvergencetheoremisestablishedforafruitfulsourceformulathatimpliesmorethan20notedclassicalfomulasandidentitiesasconsequences.Numerousnewformulasarealsopresentedasillustrativeexamples.Finally,itisshownthatakindofliftingprocesscanbeusedtoproducecertainchainsof(∞m)degreeformulasform≥3withm≡1(mod2)andm≡1(mod3),respectively.
简介:Inthispaper,wenotonlyconstructtheconfidenceregionforparametersinamixedinteger-valuedautoregressiveprocessusingtheempiricallikelihoodmethod,butalsoestablishtheempiricallog-likelihoodratiostatisticandobtainitslimitingdistribution.Andthen,viasimulationstudieswegivecoverageprobabilitiesfortheparametersofinterest.Theresultsshowthattheempiricallikelihoodmethodperformsverywell.