St. Petersburg Mathematical Journal, 5. cilt,1-3. sayılarAmerican Mathematical Society, 1994 |
Kitabın içinden
84 sonuçtan 1-3 arası sonuçlar
Sayfa 236
... Theorem . The following two statements are equivalent . 1 ) HP ( Rd ) = h2 ( Rd ) 2 ) The operator T : HP ( Rd ) - > + LP ( Rd , Rd + 1 ) is an isomorphic embedding . To prove this theorem , we need the following lemma . 0.18 . Lemma ...
... Theorem . The following two statements are equivalent . 1 ) HP ( Rd ) = h2 ( Rd ) 2 ) The operator T : HP ( Rd ) - > + LP ( Rd , Rd + 1 ) is an isomorphic embedding . To prove this theorem , we need the following lemma . 0.18 . Lemma ...
Sayfa 240
... Theorem 1.7 is equivalent to Theorem 0.7 ( b ) . So it suffices to prove Theorem 1.7 for d 2 only . With every positive number N , we associate the space FN ( R ) of all ordered d- tuples of measures μ = ( μ1 , μ2 , ... , Ma ) such that ...
... Theorem 1.7 is equivalent to Theorem 0.7 ( b ) . So it suffices to prove Theorem 1.7 for d 2 only . With every positive number N , we associate the space FN ( R ) of all ordered d- tuples of measures μ = ( μ1 , μ2 , ... , Ma ) such that ...
Sayfa 264
... Theorem 9.3 shows that this theorem remains true if instead of u Є HP ( Rd ) we demand that the nontangential maximal function Mu belong to Loc ( Rd ) . 9.7 . The nonlocal approach . This approach is based on the results of §§5 , 6 ...
... Theorem 9.3 shows that this theorem remains true if instead of u Є HP ( Rd ) we demand that the nontangential maximal function Mu belong to Loc ( Rd ) . 9.7 . The nonlocal approach . This approach is based on the results of §§5 , 6 ...
İçindekiler
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Birman and M Solomyak On the main singularities of the electric | 125 |
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Sık kullanılan terimler ve kelime öbekleri
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