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 ( Ra ) , all e € Rd + 1 with | e | = 1 , and all p € [ 1 , 1 ] ( for p > 1 it is necessary to demand that ƒ € Ho ( Rd ) ↑ H1 ( Rd ) ) . Moreover , the same property of ...
... implies that ↓ ( le - TfP - 1 ) dv > 0 for all ƒ € Ho ( Rd ) + H1 ( Ra ) , all e € Rd + 1 with | e | = 1 , and all p € [ 1 , 1 ] ( for p > 1 it is necessary to demand that ƒ € Ho ( Rd ) ↑ H1 ( Rd ) ) . Moreover , the same property of ...
Sayfa 538
... implies ра 1 σ ( r ) M ( r ) ≤ C1 + + { M ( r ) , 4 4 ra 1σ ( r ) , 3 ra 1 M ( r ) ≤ C1 + PM ( ) ≤ Gr + a ( r ) . 3 Taking supremum over the interval 0 < r < x , we get 4 1 ( x ) , 0 ( x ) ≤ C1x " + 0 ( x ) , σ ( x ) ≤ 2C1xa , M ...
... implies ра 1 σ ( r ) M ( r ) ≤ C1 + + { M ( r ) , 4 4 ra 1σ ( r ) , 3 ra 1 M ( r ) ≤ C1 + PM ( ) ≤ Gr + a ( r ) . 3 Taking supremum over the interval 0 < r < x , we get 4 1 ( x ) , 0 ( x ) ≤ C1x " + 0 ( x ) , σ ( x ) ≤ 2C1xa , M ...
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 |
Bizhanova and V A Solonnikov Solvability of an initialboundary | 97 |
Birman and M Solomyak On the main singularities of the electric | 125 |
Telif Hakkı | |
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a₁ Aleksandrov arbitrary assume asymptotic automorphism b₁ Banach space bounded C₁ coefficients compact condition consider construct convex Corollary corresponding curve defined definition denote domain eigenvalues element English transl equation estimate exists extremal subset finite finite-dimensional Finsler metric formula Fuchsian group function f G₁ geodesic graph Hecke operators Hence homomorphism HP Rd identity implies inequality integral interpolation problem inverse isometry isomorphic Lemma Lie algebra linear LP Rd Math Mathematical Mathematics Subject Classification matrix neighborhood nonzero norm obtain polynomial positive number proof of Theorem properties Proposition prove R-tree Ramanujan graphs Rd+1 relation representation Riemann surface satisfying Selberg Selberg trace formula smooth solution space spectral subgroup subspace symmetry Theorem theory theta-series u₁ v₁ vector fields zeta-function