Generalized Restriction Theorems for Analytic Functions |
Contents
SUBSPACES OF GENERAL L2xdu SPACES WHOSE FUNCTIONS | 43 |
IDENTIFICATION AND RECAPTURE OF н² FUNCTIONS H2 ΧΠ | 62 |
GENERALIZATION OF A THEOREM OF KORÁNYI | 77 |
2 other sections not shown
Common terms and phrases
2N Re Z1 A₂ Amer Analytic Functions b.Tb b.Tc best possible constant Borel set boundary restriction bounded operator bounded solution boundedness bT-Tb Chapter condition Corollary criteria 45 defined denote Dirichlet algebra e¹º example f ɛ function F Hardy space Hence Hilbert space Hilbert transform inequality integral representation Korányi L¹(r L²(T Lebesgue measure Lemma linear Loewner's theorem Math measurable function n-torus N₂ nonnegative imaginary nonzero norm Note obtain operator equation orthogonal projection pointwise a.e. positive measure Proof restriction theorems Riesz property Rosenblum and Rovnyak rotational invariant subspaces satisfies 58 selfadjoint set of positive sp{z subset subspace of L2 Suppose t₁ t₂ Toeplitz operator trigonometric polynomials vanish variable weak Dirichlet algebra X,du x₁ z₁ ε ε н²