Kitabın içinden
52 sonuçtan 1-3 arası sonuçlar
Sayfa 778
( 92 , wd A ) for all polynomials Q. But , this contradicts the fact that H ( 12 , wd A )
= Ld as has already been established in 84. We conclude , therefore : Theorem 2
' . For any p , 15p < , the polynomials are dense in L. ( 12 , wd A ) ( i.e. , HP = La )
...
( 92 , wd A ) for all polynomials Q. But , this contradicts the fact that H ( 12 , wd A )
= Ld as has already been established in 84. We conclude , therefore : Theorem 2
' . For any p , 15p < , the polynomials are dense in L. ( 12 , wd A ) ( i.e. , HP = La )
...
Sayfa 1251
... 0 < a < 1 this means that \ f ( z ) – f ( 3 ) = CF | Z – $ 1 " , z , & E K ; if r < a < r +1 ,
then fe A " ( K ) fin ) e A - ' ( K ) ) . For fe C ( K ) , KCC , we set En ( f ; K ) = inf || $ –
Pn | lc ( K ) ; here the infimum is taken over all polynomials of degree at most n .
... 0 < a < 1 this means that \ f ( z ) – f ( 3 ) = CF | Z – $ 1 " , z , & E K ; if r < a < r +1 ,
then fe A " ( K ) fin ) e A - ' ( K ) ) . For fe C ( K ) , KCC , we set En ( f ; K ) = inf || $ –
Pn | lc ( K ) ; here the infimum is taken over all polynomials of degree at most n .
Sayfa 1272
Now , substituting the polynomials Rn ( $ ; z ) and the domains Sy in the
arguments of 88 and using ( 10 . 1 ) , ( 10 . 2 ) , we can perform precisely the
same calculation as in 88 , thus obtaining the estimates required in Theorem 2 .
The proof is ...
Now , substituting the polynomials Rn ( $ ; z ) and the domains Sy in the
arguments of 88 and using ( 10 . 1 ) , ( 10 . 2 ) , we can perform precisely the
same calculation as in 88 , thus obtaining the estimates required in Theorem 2 .
The proof is ...
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İçindekiler
THE THEORY OF DECREASING SEQUENCES | 706 |
1 Main definitions and terminology | 712 |
Theorem on lacunary isomorphism | 719 |
Telif Hakkı | |
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action algebra analytic apply approximation arbitrary assume belongs boundary bounded called closed coefficients coincides compact complete condition cone Consequently consider consists constant constructed contains continuous Corollary corresponding defined definition denote depends determined differential domain elements English transl equal equation equivalent estimate example exists finite fixed follows formula function given homogeneous ideal identity implies independent inequality integral introduce invariant irreducible isomorphic Lemma limit linear mapping Math Mathematical means measure metric Moreover neighborhood obtain operator parabolic particular partition plane polynomials positive problem projection Proof properties Proposition proved relation Remark representation respect satisfying sequence similar smooth solution space spectrum standard statement Subsection sufficiently Theorem theory transformation valid values variables vector weight zero