Institution: | Departamento de Matemática Aplicada, E.T.S.I. Agrónomos, Universidad Politécnica de Madrid, 28040 Madrid, Spain ; Department of Mathematics, University of Jyväskylä, P. O. Box 35, FIN-40351 Jyväskylä, Finland |
Abstract: | We prove for many self-similar, and some more general, sets that if is the Hausdorff dimension of and is Hölder continuous with exponent , then the -dimensional Hausdorff measure of is . |