St. Petersburg Mathematical Journal, 4. cilt,4-6. sayılarAmerican Mathematical Society, 1993 |
Kitabın içinden
75 sonuçtan 1-3 arası sonuçlar
Sayfa 674
... side , by the definition of p , we get If - 9 || L , ( 00 ) ≤ 91 Σ Ex ( f ; Qt ) L2 · τεν ( Ωσ ) Raising this to the pth power and summing over all the nodes σ of Un , we get || f - || L2 ( Q0 ) ≤ C2 Σ Ex ( f Qo ) Lp σ Since the ...
... side , by the definition of p , we get If - 9 || L , ( 00 ) ≤ 91 Σ Ex ( f ; Qt ) L2 · τεν ( Ωσ ) Raising this to the pth power and summing over all the nodes σ of Un , we get || f - || L2 ( Q0 ) ≤ C2 Σ Ex ( f Qo ) Lp σ Since the ...
Sayfa 692
... side is majorized by || f || 19 ( Q0 ) | Accordingly , the required estimate of S ( S ) = S ( S1 ) has been obtained , and the proof of ( 5.7 ) is complete . Finally , we finish the proof of Theorem 5.1 . To do this we use the ...
... side is majorized by || f || 19 ( Q0 ) | Accordingly , the required estimate of S ( S ) = S ( S1 ) has been obtained , and the proof of ( 5.7 ) is complete . Finally , we finish the proof of Theorem 5.1 . To do this we use the ...
Sayfa 740
... side of ( 6.23 ) . Expanding ÃW ( 91 , 92 ( x , y ) ) into powers of y , one obtains △ times the left - hand side of the corresponding equation ( 6.7 ) as the coefficients at these powers up to the order n 1 inclusive . Note that the ...
... side of ( 6.23 ) . Expanding ÃW ( 91 , 92 ( x , y ) ) into powers of y , one obtains △ times the left - hand side of the corresponding equation ( 6.7 ) as the coefficients at these powers up to the order n 1 inclusive . Note that the ...
İçindekiler
HADAMARDS CONJECTURE | 634 |
1993 No 4 | 921 |
AND ESTIMATES OF THE GREEN FUNCTION | 1054 |
Telif Hakkı | |
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According algebra analytic apply assertion assume asymptotic boundary bounded closed complete condition cone connected Consequently consider const constant construction contains continuous corresponding cubes defined definition denote depend derivatives described determined differential domain eigenvalues element English transl equality equation equivalent estimate example exists extension fact field finite fixed follows formula function given gives hence holds implies inequality integral introduce Lemma limit linear mapping Math Mathematical means measure multiplicity norm obtained Obviously operator pair particular perturbation positive possible 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 vector zero