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Sayfa 874
Lemma 1 implies numerous metric conditions on E ; see [ 3 ] and [ 6 ] for details .
Clearly , the ... The results of [ 3 ] and [ 16 ] imply that the set E is interpolating for
the Hölder classes AS , s > 0 , and the Gevrey classes Go , 1 + y < 1 . All these ...
Lemma 1 implies numerous metric conditions on E ; see [ 3 ] and [ 6 ] for details .
Clearly , the ... The results of [ 3 ] and [ 16 ] imply that the set E is interpolating for
the Hölder classes AS , s > 0 , and the Gevrey classes Go , 1 + y < 1 . All these ...
Sayfa 1040
If r > 2 , then e ( L ) > 9° ( q2 - 1 ) > 248 , which is contrary to ( 7 ) . If r = 2 , then
515 , inasmuch as 31 | | L1 ; hence a 2 32 and e ( L ) 2 94 ( 9 - 1 ) 9 / 2 > 220 >
248 , which again contradicts ( 7 ) . Suppose L is of type 2B2 . Then ( 7 ) implies
248 ...
If r > 2 , then e ( L ) > 9° ( q2 - 1 ) > 248 , which is contrary to ( 7 ) . If r = 2 , then
515 , inasmuch as 31 | | L1 ; hence a 2 32 and e ( L ) 2 94 ( 9 - 1 ) 9 / 2 > 220 >
248 , which again contradicts ( 7 ) . Suppose L is of type 2B2 . Then ( 7 ) implies
248 ...
Sayfa 1041
If 5 < q < 31 , then 31 | | L | implies m > 5 , and hence e ( L ) > 5 ( 54 – 1 ) / 6 > 248
, which again contradicts ( 7 ) . 5 ) L = PS2 + ( 2m , q ) , m > 4 . Since 31 | \ L } , we
have L + 12 + ( 8 , 2 ) . Consequently , e ( L ) > ( qm - 1 – 1 ) . ( qm - 2 – 1 ) ...
If 5 < q < 31 , then 31 | | L | implies m > 5 , and hence e ( L ) > 5 ( 54 – 1 ) / 6 > 248
, which again contradicts ( 7 ) . 5 ) L = PS2 + ( 2m , q ) , m > 4 . Since 31 | \ L } , we
have L + 12 + ( 8 , 2 ) . Consequently , e ( L ) > ( qm - 1 – 1 ) . ( qm - 2 – 1 ) ...
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İçindekiler
HADAMARDS CONJECTURE | 634 |
Necessary facts about Sobolev spaces | 643 |
Elliptic differential inequalities | 655 |
Telif Hakkı | |
5 diğer bölüm gösterilmiyor
Diğer baskılar - Tümünü görüntüle
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According algebra analytic apply assertion assume asymptotic Banach space boundary bounded called closed complete condition cone connected Consequently consider const constant construction contains continuous corresponding cubes defined definition denote depend derivatives described determined differential direct domain eigenvalues element English transl equality equation equivalent estimate example exists extension fact field finite fixed follows formula function Further given gives hence holds implies inequality integral introduce lattice Lemma limit linear mapping Math Mathematical matrix means measure multiplicity norm obtained Obviously operator pair particular perturbation polynomial positive possible present principle problem Proof properties Proposition proved reduced relation remains Remark representation respect satisfies scattering side smooth solution space spectral spectrum subspace sufficiently Suppose Theorem theory unique valid vector zero