St. Petersburg Mathematical Journal, 10. cilt,579-1070. sayfalarAmerican Mathematical Society, 1999 |
Kitabın içinden
81 sonuçtan 1-3 arası sonuçlar
Sayfa 729
... inequality ( 38 ) for all n ≤ m - 1 , we show that this inequality is true for n = m . From the equation Ayx it follows that m - 1 Σ ( -dmky ) + dmmy ” = xm , k = 1 whence m - 1 || x || ∞ 1 | ym | ≤ + Σ dmk | yk | . dmm dmm k = 1 Now ...
... inequality ( 38 ) for all n ≤ m - 1 , we show that this inequality is true for n = m . From the equation Ayx it follows that m - 1 Σ ( -dmky ) + dmmy ” = xm , k = 1 whence m - 1 || x || ∞ 1 | ym | ≤ + Σ dmk | yk | . dmm dmm k = 1 Now ...
Sayfa 730
... inequality ( 41 ) is true in this case . Now , assume that c≤ ( 2a ) k - 1 / dkk for kn 1. Then - 1 n - 1 1 1 ch≤ + Σ dnkck≤ + Σ dnn dnn 1 < dnn k = 1 dnn · ( 1 + Σa · ( 2a ) -1 ) ≤ which proves inequality ( 41 ) . k < n 1 dnk ( 2a ) ...
... inequality ( 41 ) is true in this case . Now , assume that c≤ ( 2a ) k - 1 / dkk for kn 1. Then - 1 n - 1 1 1 ch≤ + Σ dnkck≤ + Σ dnn dnn 1 < dnn k = 1 dnn · ( 1 + Σa · ( 2a ) -1 ) ≤ which proves inequality ( 41 ) . k < n 1 dnk ( 2a ) ...
Sayfa 939
... inequality follows . The reverse inequality is contained in ( iii ) . The following two properties are also easy to prove . ( v ) For the product w = w1w2 of two weights , we have o ( n , w ) w ( n ) < C1 , w2 wi ( n ) o ( n , wi ) ...
... inequality follows . The reverse inequality is contained in ( iii ) . The following two properties are also easy to prove . ( v ) For the product w = w1w2 of two weights , we have o ( n , w ) w ( n ) < C1 , w2 wi ( n ) o ( n , wi ) ...
Diğer baskılar - Tümünü görüntüle
Sık kullanılan terimler ve kelime öbekleri
American Mathematical Society analytic assume assumptions B₁ Banach algebra Beurling-Sobolev algebra boundary c₁ compact conformal mapping construct continuous convergence Corollary corresponding defined definition denote domain embedding English transl equation equivalent esk₁ estimate exists finite formula Fourier geodesic Hence Hilbert space homeomorphic homotopy implies inequality integral interpolation interval intrinsic metric inverse IP(Z kernel Lemma linear manifold mapping class groups Math Mathematics Subject Classification metric metric spaces mult N₁ nonselfadjoint norm obtain operator-valued function Petersburg polyhedron polynomial problem Proposition proved pure point r.i. space rank one perturbations relation respect scalar selfadjoint selfadjoint operator sequence singular spectrum solution spectral function spline subgroup Subsection subspace sufficiently symmetric operator theory unitary unitary operator upper bounded curvature vector field whence zero