<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.