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 ) = h { ( Rd ) 2 ) The operator T : Ho ( Rd ) → Lo ( 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 ) = h { ( Rd ) 2 ) The operator T : Ho ( Rd ) → Lo ( 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 . μ2 , With every positive number N , we associate the space FN ( R ) of all ordered d- tuples of measures μ = ( μ1 , μ2 , ... , d ) such ...
... Theorem 1.7 is equivalent to Theorem 0.7 ( b ) . So it suffices to prove Theorem 1.7 for d 2 only . μ2 , With every positive number N , we associate the space FN ( R ) of all ordered d- tuples of measures μ = ( μ1 , μ2 , ... , d ) such ...
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 L ( Rd ) . 9.7 . The nonlocal approach . This approach is based on the results of §§5 , 6 , and ...
... 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 L ( Rd ) . 9.7 . The nonlocal approach . This approach is based on the results of §§5 , 6 , and ...
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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