Rational Approximation and Weak Analyticity. II.
Rational Approximation and Weak Analyticity. I.
Estimates for capacities, and approximation in Lipschitz norms.
Approximation by Polynomials in Two Complex Variables.
Pervasive algebras and maximal subalgebras
A uniform algebra A on its Shilov boundary X is maximal if A is not C(X) and no uniform algebra is strictly contained between A and C(X). It is essentially pervasive if A is dense in C(F) whenever F is a proper closed subset of the essential set of A. If A is maximal, then it is essentially pervasive and proper. We explore the gap between these two concepts. We show: (1) If A is pervasive and proper, and has a nonconstant unimodular element, then A contains an infinite descending chain of pervasive...
Flowability of plane homeomorphisms
We describe necessary and sufficient conditions for a fixed point free planar homeomorphism that preserves the standard Reeb foliation to embed in a planar flow that leaves the foliation invariant.
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