St. Petersburg Mathematical Journal, 5. cilt,1-3. sayılarAmerican Mathematical Society, 1994 |
Kitabın içinden
89 sonuçtan 1-3 arası sonuçlar
Sayfa 246
... implies that √ ( le - TfP − 1 ) dv ≥ 0 for all ƒ € Ho ( Rd ) + H1 ( Rd ) , all e € Rd + 1 with | e | = 1 , and all p € [ 1 , 1 ] ( for p > 1 it is necessary to demand that ƒ e HP ( Rd ) H ' ( Rd ) ) . Moreover , the same property of ...
... implies that √ ( le - TfP − 1 ) dv ≥ 0 for all ƒ € Ho ( Rd ) + H1 ( Rd ) , all e € Rd + 1 with | e | = 1 , and all p € [ 1 , 1 ] ( for p > 1 it is necessary to demand that ƒ e HP ( Rd ) H ' ( Rd ) ) . Moreover , the same property of ...
Sayfa 538
... implies 1σ ( r ) 1 M ( r ) ≤ C1 + A 4 4 ra + · —M ( r ) , 1 σ ( r ) 3 ra 1 M ( r ) ≤ = C1 + 4 ra M ( r ) ≤ C1ra + o ( r ) . 3 Taking supremum over the interval 0 < r < x , we get 4 1 0 ( x ) ≤ Cix® + { 0 ( x ) , z σ ( x ) ≤ 2C1xa ...
... implies 1σ ( r ) 1 M ( r ) ≤ C1 + A 4 4 ra + · —M ( r ) , 1 σ ( r ) 3 ra 1 M ( r ) ≤ = C1 + 4 ra M ( r ) ≤ C1ra + o ( r ) . 3 Taking supremum over the interval 0 < r < x , we get 4 1 0 ( x ) ≤ Cix® + { 0 ( x ) , z σ ( x ) ≤ 2C1xa ...
Sayfa 539
... implies the estimate h ( z ) ≤ Cw [ p ( z , г ) ] / p ( z , г ) . It is easily seen that ( 5.6 ) implies condition ( Ca ) for every a < 1. By Theorem 4 , f ' and g ' are bounded . Therefore , ( 1.10 ) and ( 1.11 ) immediately yield an ...
... implies the estimate h ( z ) ≤ Cw [ p ( z , г ) ] / p ( z , г ) . It is easily seen that ( 5.6 ) implies condition ( Ca ) for every a < 1. By Theorem 4 , f ' and g ' are bounded . Therefore , ( 1.10 ) and ( 1.11 ) immediately yield an ...
İçindekiler
A N Andrianov Factorizations of integral representations of binary | 71 |
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Birman and M Solomyak On the main singularities of the electric | 125 |
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according algebra apply arbitrary assume assumptions asymptotic automorphism Banach space belongs boundary bounded called classical closed compact complete condition consider consists constant construct contains continuous Corollary corresponding curve defined definition denote depend derive determined direct domain element English transl equal equation equivalent estimate exists extension fact field finite fixed formula function give given graph Hecke Hence holds identity implies inequality integral introduce isomorphic Lemma limit linear Math Mathematical matrix means measure method neighborhood obtain operator positive problem Proof properties Proposition prove Rd+1 relation Remark representation representatives respect ring satisfying sequence smooth solution space subgroup sufficiently surface Theorem theory transform tree unique values vector