Portilla, AnaRodríguez, José M.Tourís, Eva2010-01-152010-01-152010Acta Applicandae Mathematicae, 2010, doi: 10.1007/s10440-009-9541-2 (In press)0167-8019 (Print)1572-9036 (Online)https://hdl.handle.net/10016/644814 pages, no figures.-- Online version published Jul 9, 2009.Article in press.In this paper we are going to study the zero location and asymptotic behavior of extremal polynomials with respect to a generalized non-diagonal Sobolev norm in which the product of the function and its derivative appears. The orthogonal polynomials with respect to this Sobolev norm are a particular case of those extremal polynomials. The multiplication operator by the independent variable is the main tool in order to obtain our results.application/pdfeng© SpringerMultiplication operatorZero locationAsymptoticWeightSobolev orthogonal polynomialsExtremal polynomialsWeighted Sobolev spacesresearch articleMatemáticas10.1007/s10440-009-9541-2open access