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83 sonuçtan 1-3 arası sonuçlar
Sayfa 536
In its simplest version , the Bass theorem ( see ( 1 , Theorem 3 . 5 on page 196 ] )
asserts that if R is a commutative ring and dim ( Max ( R ) ) = d , then sr ( R ) < d +
1 . We mention a few immediate consequences of this theorem : • sr ( R ) = 1 if ...
In its simplest version , the Bass theorem ( see ( 1 , Theorem 3 . 5 on page 196 ] )
asserts that if R is a commutative ring and dim ( Max ( R ) ) = d , then sr ( R ) < d +
1 . We mention a few immediate consequences of this theorem : • sr ( R ) = 1 if ...
Sayfa 676
Four more theorems follow equally easily from the results of Chapter 3 with the
help of the scale transformation . We give ... Theorem 2 . 3 . Under the
assumptions of Theorem 3 . 2 . 7 , let A£ ( 9 , 8 ) = A ( ge , fe ) and Aç ( go , f ) = A (
go , f® ) .
Four more theorems follow equally easily from the results of Chapter 3 with the
help of the scale transformation . We give ... Theorem 2 . 3 . Under the
assumptions of Theorem 3 . 2 . 7 , let A£ ( 9 , 8 ) = A ( ge , fe ) and Aç ( go , f ) = A (
go , f® ) .
Sayfa 695
Theorem 1 . 5 . Suppose g = sw2 and ( 1 . 11 ) is satisfied . Let Ĥ ( go ) denote the
operator D * 9°D . Then ( 1 . 16 ) | | ( Heğ , w ) + 1 ) - 1 ... we obtain Q = 1 . This
estimate can be supplemented with the interpolation estimate from Theorem 4 .
Theorem 1 . 5 . Suppose g = sw2 and ( 1 . 11 ) is satisfied . Let Ĥ ( go ) denote the
operator D * 9°D . Then ( 1 . 16 ) | | ( Heğ , w ) + 1 ) - 1 ... we obtain Q = 1 . This
estimate can be supplemented with the interpolation estimate from Theorem 4 .
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İçindekiler
S 1061002204008180 | 470 |
3 Linearized differential operators | 480 |
Moduli spaces for the solutions of quasilinear elliptic | 488 |
Telif Hakkı | |
5 diğer bölüm gösterilmiyor
Diğer baskılar - Tümünü görüntüle
Sık kullanılan terimler ve kelime öbekleri
algebra apply arbitrary assume Banach space base basis belongs boundary bounded called Chapter coefficients coincides compact complete Consequently consider constant constructed contains contraction convergence corresponding curve defined Definition denote depend determined difference differential operator domain effective eigenvalues element elliptic English transl equal equation equivalent estimate example exists extension fact factorization field finite fixed formula function given homogenization ideal identity implies inequality integral isomorphism Journal Lemma linear mapping Math Mathematical matrix means method Moreover multiple norm normal notation obtain operator parameters particular periodic polynomial positive present problem Proof Proposition prove regular relation Remark representation respectively ring satisfies sequence side similar smooth solution space statement subgroup Subsection suffices Suppose Theorem theory transformation values vector zero