Bloch空間上的復(fù)合算子差分的本性范數(shù).pdf

1、Y1531527碩士學位論文Bloch空間上的復(fù)合算子差分的本性范數(shù)EssentialNormoftheDifferenceofCompositionOperatorsonBlochSpaces學科專業(yè)：應(yīng)用數(shù)學研究生：塹塞童指導教師：周澤華教授天津大學理學院二零零八年四月AbstractThispapergivessomesimpleestimateoftheessentialnormforthedifferenceofcomposi

2、tionoperatorso—c知fromBlochspacestoBlochspacesintheunitdiskMoreoverthecompactnessofdifferenceisalsocharacterizedThepaperismainlydividedintothreechaptersThefirstsectionistheintroductionofthewholepaperWhichincludesthebackgr

3、oundandsomenotionsofthispaper，andthemainresultsaregivenheretooNextsectionofthepaper，someimportantlemmas，whicharerelatedtothemaintheorems，areprovedTheleftpartisthedetailedproofofthemaintheoremTheorem11：Let60and毋=z∈D：max(I

4、妒(z)I，I妒(z)1)≤6】If妒，妒：D_Dandneither郇norc0：B_Barecompactoperators，Then：lim弛sup(1一礦(妒(名)，妒(名)))(嘲)(z)杪(z)|x酵’(z)礦(名)脅妒(名)，妒(名))劍％一c妒11es806li。m。：s∈u玩p19(妒(名)，妒(z))wherex《訂(z)=1zz岳E砭E5旬i)i=l，2，E6=D毋，曩1)=名∈。：I妒(z)I6】，砭2)=z∈D