![Loading...](https://link.springer.com/static/c4a417b97a76cc2980e3c25e2271af3129e08bbe/images/pdf-preview/spacer.gif)
-
Chapter
Bounded Point Derivations on Certain Function Algebras
Let X be a compact nowhere dense subset of the complex plane ℂ, let C(X) be the linear space of all continuous functions on X endowed with the uniform norm, and let dA denote two-dimensional Lebesgue (or area) me...
-
Chapter
Three Problems in Function Theory
The three problems mentioned in the title are as follows: Lp-approximation by polynomials and rational functions; the uniqueness property of the analytic functions; and the integrability of the derivative in conf...
-
Article
Approximation by rational functions on compact nowhere dense subsets of the complex plane
Let \(X\) be a compact nowhere dense subset of the complex plane, and let
-
Article
On a conjecture of Mergelyan
A solution is presented to the problem of uniform weighted polynomial approximation on bounded simply connected domains in the complex plane, that is analogous to Mergelyan’s solution to the classical Bernstei...