St. Petersburg Mathematical Journal, 4. cilt,4-6. sayılarAmerican Mathematical Society, 1993 |
Kitabın içinden
15 sonuçtan 1-3 arası sonuçlar
Sayfa 636
... Banach space H. Then K is normal if and only if the representation H * K * - K * holds . = Hedberg's Theorem . Let u € W ( ) . Then for any ɛ > 0 there exists a function wЄ Co ( N ) such that 0 ≤ w≤1 and || u - wu || w ; ( 2 ) ≤ ε ...
... Banach space H. Then K is normal if and only if the representation H * K * - K * holds . = Hedberg's Theorem . Let u € W ( ) . Then for any ɛ > 0 there exists a function wЄ Co ( N ) such that 0 ≤ w≤1 and || u - wu || w ; ( 2 ) ≤ ε ...
Sayfa 724
... space . If D does not intersect the disk of radius A centered at the origin , these norms are subordinated : 1 ( 2.3 ) ... Banach spaces ( X , || - || ) , i = 1 , 2 , we define the norm of by - - > 11011 = sup || 6 ( a ) || aЄX1 , a ‡ 0 || a || ...
... space . If D does not intersect the disk of radius A centered at the origin , these norms are subordinated : 1 ( 2.3 ) ... Banach spaces ( X , || - || ) , i = 1 , 2 , we define the norm of by - - > 11011 = sup || 6 ( a ) || aЄX1 , a ‡ 0 || a || ...
Sayfa 877
... Banach spaces . 8 > 0 |||| B ; = || ƒ || L2 ( R ) + || ƒ ' || L2 ( R ) › Finally , the Gevrey class Ga , a > 0 ... space Go ( with the natural norm ) . Now the space Ga = Ugo Ga is equipped with the topology of inductive limit . 2.2 ...
... Banach spaces . 8 > 0 |||| B ; = || ƒ || L2 ( R ) + || ƒ ' || L2 ( R ) › Finally , the Gevrey class Ga , a > 0 ... space Go ( with the natural norm ) . Now the space Ga = Ugo Ga is equipped with the topology of inductive limit . 2.2 ...
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