Resumen de Bounded point derivations on Rp(X) and approximate derivatives
Stephen Deterding
It is shown that if a point x0 admits a bounded point derivation on Rp(X), the closure of rational function with poles off X in the Lp(dA) norm, for p>2, then there is an approximate derivative at x0. A similar result is proven for higher-order bounded point derivations. This extends a result of Wang which was proven for R(X), the uniform closure of rational functions with poles off X.
