This is the abstract of the paper "The mixed Cauchy-Dirichlet problem for the heat equation in a plane angle in spaces of h\"older continuous functions" by Davide Guidetti. For the whole paper send the command get evolve-l 00-00025 to: "listserv@uni-karlsruhe.de". Instead you may get the paper at "http://ma1serv.mathematik.uni-karlsruhe.de/evolve-l/index.html" too. Abstract: We study the classical mixed Cauchy-Dirichlet problem for the heat equation in spaces of h\"older continuous functions, even of negative order (in this second case we have in fact spaces of distributions) in a general plane angle. We start with a careful study of the elliptic problem depending on a parameter with datum $f \in C^\sigma(\Omega)$ with $-2 < \sigma < {\pi\over\omega}$, $\sigma \not \in {\bf Z}$, where $\omega$ is the size of the angle, and get estimates of the solution in spaces $\tilde C^{2+\sigma}(\Omega)$ obtained adding to $C^{2+\sigma}(\Omega)$ a finite dimensional space of singular solutions. We consider even the case of $f$ uniformly continuous and bounded and describe certain interpolation spaces between $C(\Omega)$ and the space of solutions. Next we apply the previous results to the parabolic problem, obtaining several results of maximal regularity generalizing theorems which are known in the case of smooth boundary. ------------------ http://www.uni-karlsruhe.de/~listserv/ -------------------