Kitabın içinden
83 sonuçtan 1-3 arası sonuçlar
Sayfa 735
OP to prove the sufficiency of the condition OE CO ( R ) in the compactness
theorem for the differentiation operator . 2 . A particular case of Theorem 1 ( p = 2
, o = 1 / 2 ) was proved in the paper ( 12 ) by the author . 3 . The exponent p - is
sharp ...
OP to prove the sufficiency of the condition OE CO ( R ) in the compactness
theorem for the differentiation operator . 2 . A particular case of Theorem 1 ( p = 2
, o = 1 / 2 ) was proved in the paper ( 12 ) by the author . 3 . The exponent p - is
sharp ...
Sayfa 824
Moreover , it is compatible with the ring Wx . Indeed , condition ( P1 ) is satisfied
by assumption . Next , since rk ( WxX / Ez ) = 2 , condition ( S2 ) implies that hx e
Aut ( Wx / E . ) . Thus , condition ( P2 ) is also satisfied . Now , we set hy to be the
...
Moreover , it is compatible with the ring Wx . Indeed , condition ( P1 ) is satisfied
by assumption . Next , since rk ( WxX / Ez ) = 2 , condition ( S2 ) implies that hx e
Aut ( Wx / E . ) . Thus , condition ( P2 ) is also satisfied . Now , we set hy to be the
...
Sayfa 826
10 . 5 in ( 3 ) implies that either its rank equals 2 , or its degree is a prime . In the
latter case the rank also equals 2 , because otherwise the ring WX / E , is normal
by ( 3 , Theorem 12 . 7 . 5 ) . Thus , it suffices to verify conditions ( S1 ) and ( S2 ) .
10 . 5 in ( 3 ) implies that either its rank equals 2 , or its degree is a prime . In the
latter case the rank also equals 2 , because otherwise the ring WX / E , is normal
by ( 3 , Theorem 12 . 7 . 5 ) . Thus , it suffices to verify conditions ( S1 ) and ( S2 ) .
Kullanıcılar ne diyor? - Eleştiri yazın
Her zamanki yerlerde hiçbir eleştiri bulamadık.
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