St. Petersburg Mathematical Journal, 11. cilt,1-542. sayfalarAmerican Mathematical Society, 2000 |
Kitabın içinden
56 sonuçtan 1-3 arası sonuçlar
Sayfa 269
... closed algebra A ( Sp , N ) of operators on the space Lp ( T ) ( where T is the unit circle and 1 < p < ∞ ) generated by the singular Cauchy integral operator Sp and by the operators of multiplication by functions in some closed ...
... closed algebra A ( Sp , N ) of operators on the space Lp ( T ) ( where T is the unit circle and 1 < p < ∞ ) generated by the singular Cauchy integral operator Sp and by the operators of multiplication by functions in some closed ...
Sayfa 271
... closed unit disk D , respectively . The Hardy spaces H and H are closed subspaces of Lp ; moreover , H ^ H , for pЄ ( 1 , ∞ ) we have H + H Lp . Observe that fg H ( or fg Є HÃ ) whenever fe H , 9 H ( or fe H , 9 H ) . Sometimes for H + ...
... closed unit disk D , respectively . The Hardy spaces H and H are closed subspaces of Lp ; moreover , H ^ H , for pЄ ( 1 , ∞ ) we have H + H Lp . Observe that fg H ( or fg Є HÃ ) whenever fe H , 9 H ( or fe H , 9 H ) . Sometimes for H + ...
Sayfa 273
... closed right ideals of End Lp . Proof . First , we check that 37 ( A ) is a right ideal . Indeed , for F1 € J7 ( A ) and F2 € End ( Lp ) we have inf ( P Mb ) ( F1F2 ) || ≤ inf ( || P , MòF1 || || F2 || ) = 0 , bЄBA whence F1 F2 € J5 ...
... closed right ideals of End Lp . Proof . First , we check that 37 ( A ) is a right ideal . Indeed , for F1 € J7 ( A ) and F2 € End ( Lp ) we have inf ( P Mb ) ( F1F2 ) || ≤ inf ( || P , MòF1 || || F2 || ) = 0 , bЄBA whence F1 F2 € J5 ...
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A(Sp A₁ absolutely continuous American Mathematical Society assume assumptions asymptotics b₁ Bernstein algebra bigon boundary bounded c₁ coefficients condition configurations consider constant Corollary corresponding defined definition denote distinguished triangle domain dx dt dz² embedding English transl equation equivalent estimate exists extremal decomposition finite formula function functor G₁ geometrization H¹(k homomorphism homotopy classes idempotents implies inequality integral isomorphism journals K₁ kernel Lemma linear mapping Math MathSciNet matrix metric morphism norm notation obtain operator orthogonal P-category parameters polynomials problem proof of Theorem Proposition proved quadratic differential quadratic forms reduced module relation Riemann surface satisfying selfadjoint semigroup sequence solution space Steklov subalgebra Subsection sufficiently Suppose symmetric Theorem 2.1 theory trajectories u₁ unique variables vector vertex whence