; TeX output 2004.03.30:1456 s\<3"V cmbx10BlaschkeSetsforBergmanSpaces\< fe Rv썒 ,byBorisKorenblumb+- cmcsc10Abstract fe 0.ݎ0..: K`y cmr10W*e characterizesubsetsb> cmmi10SZoftheopGenunitdisk"V cmbx10Dsuchthateveryzero sequenceUUforaBergmanspaceA^ 0er cmmi7pR,p>0,UUwithelementsinSisBlaschke.1.pIn9troQductionp fe ?gDw. TheEbfollowingdenitionisanextensionofthenotionofaBlaschkesetintroGducedby KrzysztofUUBogdan[B].썍Definition fe 4!4!:W*ecallS_W!", cmsy10DaBlaschkesetforaclassXofanalyticfunctionsonD=fz72C:jzpj<1gUUifq(i) wheneverG0[m6fn2X ,andfznq~gn narethezerosoff[(countingmultiplicities),with zn82S ,UUtheBlaschkeUUconditionholds:b v8u cmex10X 6^n (18 jznq~j)<1UU;z(1)I܍(ii) wheneverr,ZE=)fznq~gn㪫isaBlaschkesequence(i.e.M(1)holds),ybwithznh2)S ,thereisan fڧ2X7whoseUUzerosequenceisZ .썍Remark fe '+'+:If:XismadeupoffunctionsofbGoundedNevqanlinnacharactericthenthisde-nitionUUreducesto(ii).qIfH ^O! cmsy71X ,itreducesto(i).Examples fe 0202:Rv81. EveryUUsubsetofDisaBlaschkesetforH ^poP,0