St. Petersburg Mathematical Journal, 5. cilt,1-3. sayılarAmerican Mathematical Society, 1994 |
Kitabın içinden
46 sonuçtan 1-3 arası sonuçlar
Sayfa 235
... sequence { a } of reals . Proof . Let { f } be an arbitrary sequence of functions in HP ( Rd ) . Set ( t ) = ↓ ( Ź ( ( R ; fk ) ( t , x ) ) 2 ) P / 2 Ok Rd j = 0 dx . The condition | fk ||| = 1 is equivalent to sup k = 1. For ( 0.10 ) ...
... sequence { a } of reals . Proof . Let { f } be an arbitrary sequence of functions in HP ( Rd ) . Set ( t ) = ↓ ( Ź ( ( R ; fk ) ( t , x ) ) 2 ) P / 2 Ok Rd j = 0 dx . The condition | fk ||| = 1 is equivalent to sup k = 1. For ( 0.10 ) ...
Sayfa 279
... sequence { a } = 1 of vectors in Rd , the function λ ; 9 ( x + a ; ) is nonremediable . j = 1 13.8 . Corollary ... sequence of functions in ho ( Rd ) . Suppose that the sequence { f } converges in the weighted space LP ( Rd , ( 1+ | x ...
... sequence { a } = 1 of vectors in Rd , the function λ ; 9 ( x + a ; ) is nonremediable . j = 1 13.8 . Corollary ... sequence of functions in ho ( Rd ) . Suppose that the sequence { f } converges in the weighted space LP ( Rd , ( 1+ | x ...
Sayfa 280
... sequence { f } is bounded in ho ( Rd ) . Then it has a limit point ƒ in the space h ( R ) endowed with the weak topology . Clearly , f * ( x ) = ( x ) for almost every x E Q , and we arrive at a contradiction , because the boundary ...
... sequence { f } is bounded in ho ( Rd ) . Then it has a limit point ƒ in the space h ( R ) endowed with the weak topology . Clearly , f * ( x ) = ( x ) for almost every x E Q , and we arrive at a contradiction , because the boundary ...
İçindekiler
A N Andrianov Factorizations of integral representations of binary | 71 |
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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