K. Barbey, H. König's Abstract Analytic Function Theory And Hardy Algebras PDF

By K. Barbey, H. König

ISBN-10: 3540082522

ISBN-13: 9783540082521

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QED. SZEG~-KOLMOGOROV-KREIN and there e x i s t m e a s u r e s in the e x t e n d e d THEOREM: 1O.

Log,Sd8 , ~ S u p { f l o g If S d @ # O t h e n t h e r e Thus In the case D P ( e ) > O BNM(~)%~ can be applied. as claimed. 7 we h a v e D P ( e ) = D P ( e m ) . such that o < < m for for all e 6 P o s ( X , Z ) . 3 in v i e w of D P ( m ) = I . upon w h i c h of DP(Fo) << some o 6 M ( ~ ) . as required. B : = { e } v = { o 6 c a ( X , Z ) :o<

Of e i) E+F subsequent Compare proves FcE @ (ENF) ^. = proves ( U Bs)^^" s6I I and @, Therefore we iii) family B:= This . This ii) + 6 F^ + E^ c that = E+F. EC @ . F ^^ . Also (Bs)s61 in + 8 follows E ^^ + s6I this It - a band. S6I Proof: . e6F @ It s6I Symbolically is {0}. suffices REMARK: = 0 = EAF 8 for and E^ Q F^ = ENF Therefore <(EDF)^>@. (E ^ N F ^ ) ^ = equivalent, 9 that 9 <(EQF)^> follows have + 6 ENF + .

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Abstract Analytic Function Theory And Hardy Algebras by K. Barbey, H. König


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