St. Petersburg Mathematical Journal, 19. cilt,1-494. sayfalarAmerican Mathematical Society, 2008 |
Kitabın içinden
33 sonuçtan 1-3 arası sonuçlar
Sayfa 343
... ( R ) for all t € [ 0 , 1 ) . By the Fubini theorem , Put ft def - def S - S2 || - ft || Lp dt = n |||| P - where np def s¦ ( 1 – 1⁄2 ( e2πit + e − 2πit ) ) o dt < ( ƒ¦ ( 1 − 1⁄2 ( e2πit + e − 2xit ) ) dt ) ” = 1. Conse- quently ...
... ( R ) for all t € [ 0 , 1 ) . By the Fubini theorem , Put ft def - def S - S2 || - ft || Lp dt = n |||| P - where np def s¦ ( 1 – 1⁄2 ( e2πit + e − 2πit ) ) o dt < ( ƒ¦ ( 1 − 1⁄2 ( e2πit + e − 2xit ) ) dt ) ” = 1. Conse- quently ...
Sayfa 345
' R ' n We prove that ker Ɛ C L ( R " ) . Let ƒ € ker Ɛ , and let a function g € LP ( R " ) ↑ L ( R ) be such that || fg || LP < ε and the support of g is compact . Note that 9-1 [ 0,1 ) nƐg Є ker Ɛ and - - || f ( g - 1 ( 0,1 ) Eg ) ...
' R ' n We prove that ker Ɛ C L ( R " ) . Let ƒ € ker Ɛ , and let a function g € LP ( R " ) ↑ L ( R ) be such that || fg || LP < ε and the support of g is compact . Note that 9-1 [ 0,1 ) nƐg Є ker Ɛ and - - || f ( g - 1 ( 0,1 ) Eg ) ...
Sayfa 350
... ( R " ) # LP ( R " ) . Then L ( R ) C clos » ( Lñ ( R " ) + L2 ( R " ) ) # LP ( R " ) because the space L ( R ) is meager , a contradiction . Corollary 7.7 . If L1⁄2 ( R " ) = LP ( R " ) , then LK ( KCR " . ( R " ) = LP ( R " ) for every ...
... ( R " ) # LP ( R " ) . Then L ( R ) C clos » ( Lñ ( R " ) + L2 ( R " ) ) # LP ( R " ) because the space L ( R ) is meager , a contradiction . Corollary 7.7 . If L1⁄2 ( R " ) = LP ( R " ) , then LK ( KCR " . ( R " ) = LP ( R " ) for every ...
İçindekiler
S Alesker Quaternionic plurisubharmonic functions and their applications | 1 |
S ArtsteinAvidan and V D Milman Using Rademacher permutations | 15 |
Burago S Ivanov and D Shoenthal Two counterexamples in low | 33 |
Telif Hakkı | |
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