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89 sonuçtan 1-3 arası sonuçlar
Sayfa 649
Moreover , | | U1 | w ( ) < C | | U | | w ( ) and | | U - I \ w ; ( 0 ) < C | | U | | w ; ( Q ) ,
where the constant C is independent of U E C ( 12 ) . 2 . We prove the existence
of the mapping O . . Denote by J , the Fourier transform of the function ( 1 + | | * | |
2 ) ...
Moreover , | | U1 | w ( ) < C | | U | | w ( ) and | | U - I \ w ; ( 0 ) < C | | U | | w ; ( Q ) ,
where the constant C is independent of U E C ( 12 ) . 2 . We prove the existence
of the mapping O . . Denote by J , the Fourier transform of the function ( 1 + | | * | |
2 ) ...
Sayfa 671
with constant y > independent of f . In the case q = 0 , 0 < a < d the assertion is
preserved with Ly replaced in ( 2 . 9 ) by the space BMO . ( b ) When 0 < a < op
the two sides of ( 2 . 9 ) are equivalent , with constants independent of f . A proof
of ...
with constant y > independent of f . In the case q = 0 , 0 < a < d the assertion is
preserved with Ly replaced in ( 2 . 9 ) by the space BMO . ( b ) When 0 < a < op
the two sides of ( 2 . 9 ) are equivalent , with constants independent of f . A proof
of ...
Sayfa 1067
It is worth noting that the estimating constant in ( 3 . 15 ) does not depend on a . 5
. We now discuss applications to the Schrödinger operator . Let us confine
ourselves to a pair Ho , H in ( 2 . 11 ) with go = 0 , and assume that r = 2 . This
yields ...
It is worth noting that the estimating constant in ( 3 . 15 ) does not depend on a . 5
. We now discuss applications to the Schrödinger operator . Let us confine
ourselves to a pair Ho , H in ( 2 . 11 ) with go = 0 , and assume that r = 2 . This
yields ...
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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