St. Petersburg Mathematical Journal, 4. cilt,4-6. sayılarAmerican Mathematical Society, 1993 |
Kitabın içinden
60 sonuçtan 1-3 arası sonuçlar
Sayfa 668
... equal to the characteristic function xo , Q Qo , belongs to PP ( Qo ) , and the corresponding best approxi- mation is equal to zero for all nЄ N. At the same time , it does not belong to any of the spaces B ( Qo ) with > 1 / p . Indeed ...
... equal to the characteristic function xo , Q Qo , belongs to PP ( Qo ) , and the corresponding best approxi- mation is equal to zero for all nЄ N. At the same time , it does not belong to any of the spaces B ( Qo ) with > 1 / p . Indeed ...
Sayfa 685
... equal to the union of 2d 1 intervals R of the form П [ a , Bil , where [ a ;, Bi ] is equal to [ 0 , a ; ] or [ a ,, 1 ] . For the given R let / denote the length of the longest edge of it . Since 1 - a ; ≤ 1/2 ≤ a ;, there exists an ...
... equal to the union of 2d 1 intervals R of the form П [ a , Bil , where [ a ;, Bi ] is equal to [ 0 , a ; ] or [ a ,, 1 ] . For the given R let / denote the length of the longest edge of it . Since 1 - a ; ≤ 1/2 ≤ a ;, there exists an ...
Sayfa 1182
... equal to Ax + B on N. Proof . We put F [ u ] = 0 , U2 = Ax + B + ɛ ( λx2 − R2 ) , - ε > 0 . If is sufficiently large , then , as follows from ( 5.1 ) with ŋ = λI , the function uɛ is a strong subsolution of ( 4.1 ) . Choosing R so that ...
... equal to Ax + B on N. Proof . We put F [ u ] = 0 , U2 = Ax + B + ɛ ( λx2 − R2 ) , - ε > 0 . If is sufficiently large , then , as follows from ( 5.1 ) with ŋ = λI , the function uɛ is a strong subsolution of ( 4.1 ) . Choosing R so that ...
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