<正>WegiveseveralequivalencesofBlochfunctionsandlittleBlochfunetions.UsingtheseresultsweobtainthegeneralizedCarlesonmeasurecharacterizationofBlochfunctionsandthegeneralizedvanishingCarlesonmeasurecharacterizationoflittleBlochfunctions,thatis,f∈Bifandonlyif|Dβf（z）|p（1-|z|2）βp-1dm（z）isageneralizedCarlesonmeasure;f∈B0ifandonlyif|Dβf（z）|p（1-|z|2）βp-1dm（z）isageneralizedvanishingCarlesonmeasure,whereDβf（β>0）isthefractionalderivativeofanalyticfunctionfoforderβ,mdenotesthenormalisedLebesguemeasure.
