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71 sonuçtan 1-3 arası sonuçlar
Sayfa 715
O If we consider the closed domain II \ { \ zı < 1 } , then the estimate 18 ( z ) < 1
holds on the lines Im z = £n , while on the circle 1z1 = 1 a direct computation
gives us that 18 ( z ) < 1 . 6 . Using the maximum modulus principle , we conclude
...
O If we consider the closed domain II \ { \ zı < 1 } , then the estimate 18 ( z ) < 1
holds on the lines Im z = £n , while on the circle 1z1 = 1 a direct computation
gives us that 18 ( z ) < 1 . 6 . Using the maximum modulus principle , we conclude
...
Sayfa 926
For Bi = 0 , ( 6 ) gives us that c ( 2 ) = 2 ( 71 – 1 ) + 1 - 0111 – ) , which together
with ( 4 ) gives us that 91 + d1 = 1 ( 81 + 81 – 1 ) + 1 , i . e . , ¥1 + 81 = 1 . The
equalities B1 = 0 and Yu + dj = 1 are equivalent to wi ( 0 ) = 0 and vi ( 1 ) = 1 .
For Bi = 0 , ( 6 ) gives us that c ( 2 ) = 2 ( 71 – 1 ) + 1 - 0111 – ) , which together
with ( 4 ) gives us that 91 + d1 = 1 ( 81 + 81 – 1 ) + 1 , i . e . , ¥1 + 81 = 1 . The
equalities B1 = 0 and Yu + dj = 1 are equivalent to wi ( 0 ) = 0 and vi ( 1 ) = 1 .
Sayfa 940
1 gives us that | | H18 | < call fl | a4 | 18 | lp . Since fõ " € 19 , it follows that P - ( fē "
) Aa ( the operators Pt and P - map the space Ac into itself ) , and Lemma 1 . 2
gives us | | T78 | la < ca | | P - ( fē " ) | | - | | 8 | lp . The last two inequalities ,
together ...
1 gives us that | | H18 | < call fl | a4 | 18 | lp . Since fõ " € 19 , it follows that P - ( fē "
) Aa ( the operators Pt and P - map the space Ac into itself ) , and Lemma 1 . 2
gives us | | T78 | la < ca | | P - ( fē " ) | | - | | 8 | lp . The last two inequalities ,
together ...
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İçindekiler
HADAMARDS CONJECTURE | 634 |
Necessary facts about Sobolev spaces | 643 |
Elliptic differential inequalities | 655 |
Telif Hakkı | |
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Diğer baskılar - Tümünü görüntüle
Sık kullanılan terimler ve kelime öbekleri
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