m(E)=O=~E Removable sets of analytic functions satisfying a Lipschitz condition

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A CLASSIFICATION OF BUSEMANN G-SURFACES WHICH POSSESS CONVEX FUNCTIONS 19 Proof... Thus the geodesic loop at p must lie in the minimum set which is a straight line,

negligible with respect to approximation by bounded analytic functions (Theorem 3).. We refer to Carleson [2] for more information about these capacities.. The analytic

On the other hand, t h e y have the functorial property expressed b y Proposition 4 and quoted above, and in the case of the strong differentiability theorem there

We will often consider only dyadic dilations, defined by multi-indices I = (fi,.. — In Proposition 1.1 we assume that the measures u^ are supported on the unit cube. This is only

i.b. The Vanishing Theorem. — Let 0 be the sheaf of holomorphic functions on the compact complex analytic manifold P^. Normality of V at infinity. — Let again V be an alge-

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