St. Petersburg Mathematical Journal, 8. cilt,543-1051. sayfalarAmerican Mathematical Society, 1997 |
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38 sonuçtan 1-3 arası sonuçlar
Sayfa 606
... kernel satisfying the Hörmander condition in one of the variables . Namely , the kernel of Rn is Kn ( z , ( ) = znčn 1 – 2ζ The transformation { fn ( S ) } n > 0 → { 5 " fn ( S ) } n > o is an isometry of L ' ( 1 ) onto itself for all ...
... kernel satisfying the Hörmander condition in one of the variables . Namely , the kernel of Rn is Kn ( z , ( ) = znčn 1 – 2ζ The transformation { fn ( S ) } n > 0 → { 5 " fn ( S ) } n > o is an isometry of L ' ( 1 ) onto itself for all ...
Sayfa 662
... kernel . The Poisson kernel is obtained from the Green function with the help of the identity P ( x , y ) = - მ Ən ( y ) Γ ( x , y ) , ( x , y ) Ε Ω Χ ΘΩ . From the regularity properties of the Green kernel г ( x , y ) it follows that ...
... kernel . The Poisson kernel is obtained from the Green function with the help of the identity P ( x , y ) = - მ Ən ( y ) Γ ( x , y ) , ( x , y ) Ε Ω Χ ΘΩ . From the regularity properties of the Green kernel г ( x , y ) it follows that ...
Sayfa 665
... kernel is H ( x , y ) = H ( y , x ) . Since H - Qu≤ г , we have H = -TwQw . H2 3 Lemma 3.1 ( regularity of kernels ) . The kernel Uw ( x , y ) is C∞ on ( N × N ) \ E ( N ) , and the kernels H ( x , y ) and Qu ( x , y ) are both C∞ on ...
... kernel is H ( x , y ) = H ( y , x ) . Since H - Qu≤ г , we have H = -TwQw . H2 3 Lemma 3.1 ( regularity of kernels ) . The kernel Uw ( x , y ) is C∞ on ( N × N ) \ E ( N ) , and the kernels H ( x , y ) and Qu ( x , y ) are both C∞ on ...
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algebra arbitrary assume asymptotic B₁ Bellman function boundary bounded Calderón-Zygmund coefficient space condition configuration constant converges Corollary corresponding curve deduce defined definition denote Dirichlet domain dyadic element elliptic embedding theorem English transl equation equivalent estimate finite fixed follows formula function f H₁ Hecke operators Hilbert Hilbert space Hölder Hölder continuous homogeneous homomorphism implies inequality inner function integral interval isomorphism kernel Lemma linear mapping Math Mathematical Mathematics Subject Classification matrix monodromy group multiplicity nonsingular norm obtain PDO's piecewise smooth piecewise smooth metric Poincaré metric polynomial positive problem Proposition prove quadratic forms relation representation respectively result right-hand side satisfying scalar selfadjoint sequence signed curvature measure singular solution Subsection subspace suffices symmetric Theorem theta-functions theta-series variables vector weight whence Y₁ zero