H[p Superscript] Spaces of an Annulus |
Common terms and phrases
absolutely continuous angular measure annulus belongs to HP(A Blaschke product Borel measure boundary function boundary measure induced boundary of  boundary values bounded characteristic bounded linear Cauchy integral formula codimension congruent modulo constant of unit converges COROLLARY defined denote disk doubly invariant subspace Ds F e¹t Eatn eigenvalue f belongs F in H2(A Fourier series func function F function in HP(A function on  functions of class H²(D harmonic function Hence Hilbert space holomorphic function HP spaces HP(D implies index of F inner function integral invariant subspace problem Jensen's formula Jensen's inequality L²(A L²(JA Lebesgue measure Lemma Let F log ro log|x(re¹t maps modulus almost everywhere modulus automorphic function N₁ non-identically zero function obtain orthogonal outer function point of  PROOF properties prove re¹t respect to angular satisfies Section spaces HP(A Suppose Theorem 13 tion unique unit modulus vanish x(e¹t zeros or poles