Bloch函数到QK型函数空间的距离

《Bloch函数到QK型函数空间的距离》由会员上传分享，免费在线阅读，更多相关内容在行业资料-天天文库。

1、viJonesBCarleson7u;G.Bloch0:_BMOAbd1GJonesb3`(la_Bloch0:_3ÆM¨obius/'0:bkw8m+v31`(a_Bloch0:_QKbe32r.BlochQK:bl:63Æ%bD
q#55Dm;e

2、2'BK-Carleson7u;G.Bloch0:_QK0:bg/kb-lgo+5Bloch0:QKQKK-Carleson7uAbstractWegaveseveraldistanceformulasfromBlochfunctio

3、nstosomeQK-typespaces,whichgeneralizedistanceformulasfromBlochfunctionstoBMOAspacebyJonesandtosomeM¨obiusinvariantspacesbyRuhanZhao.Thefirstpartofthepaperprovidesthedefinitionsofsomefunctionspaces,includingBlochspaceandQK-typespaces,preliminariesandrelatedknownresults.Thesecondpartofthepapergiv

4、esthedistanceformulasfromBlochfunc-tionstosomeQK-typespaces,whicharecharacterizedbyusingtheK-Carlesonmeasure.Themaintheoremsandtheirproofsarecontainedinthispart.KeyWords.Blochfunctions,QKspaces,QK-typespaces,K-Carlesonmeasure,distance.fYG[td;k,nY℄u℄

5、vb%}zab%}B+;kH.R+Y6)5{bda//g

6、CgF#5{}*C,b%}B+wkb%}G"b5U5Y;k6&)b}8#_b~9CDWflf[TfYG[SrT2

7、Æ^Th;kbj5y}kW;k9V5qVÆdh;kb}2C2Y&D%:v℄
64B>
H>CgÆ

8、0v5A&;kÆ,6*XD%2GCF#Ce;k,2

9、g
qVC0h;kb}2C2YwH
b;ke
bD%)l5C;k7H
(),Y[n
9-B2

10、/
().(wY63YS“”)fl℄lf[Tf[TÆ^T=(h;kqh0:;gÆ'-0:

11、5"'-0:Æ'-0:GXÆ'5zÆ'0:Æ'0:;/tk5u

0u
eCVu
q%=v

12、jpmT6-;b%}D(
b+y*UwÆ'0:b%}T{glv(1)p

13、*W[ViH%wHardy(H,0

14、_YH5{Bg3{ib0:Y
0u
k5u1D-?Bp%HHb3Æm;6k[5,26].(2)_.4[VDHRÆdeCbmTJohn,Nirenberg=.BMO1[31],r9b:XFefferman}Hbw_

15、,BMO,1{$BMOHardyH+yig3-m;b}`p.BMO:;b}a(3)[V9AulaskariLappan=.QpÆ'0:b%}fv31Tg1b+yv31YoQp/z-0:BMOA
Bloch
Dirichlet1996[d1Yb.(;k1%}.F(p,q,s),Qpb3`(2000[FEss´en
o-?=QKQK(p,q)G,F(p,q,s)b3`(8gÆ0:rY3lb/%y

16、
(<∞[17]H⊂BMOA⊂B,∞p[17]H⊂BMOA⊂H,0

17、1,[19]Qp1$Qp2$BMOA,00,1Æ^T=(h;k[4]QK⊆B,QK0⊆B0.;R0:_30:bD;-b68:Z,bTnH67bq`g0:5g0:rb+yYk[9]Jones'BCarleson7u;G.Bloch0:_BMOAbr9%HBloch0:g0