 
Summary: Discretecontinuous symmetrized Sobolev inner products
MarŽia Isabel Bueno
Departamento de MatemŽaticas, Universidad Carlos III de Madrid
Avenida Universidad, 30. 28911 LeganŽes. Spain
mbueno@math.uc3m.es
Kil H. Kwon
Division of Applied Mathematics, KAIST
3731 Kusongdong Yusongku, Taejon(305701), Korea
khkwon@amath.kaist.ac.kr
Francisco MarcellŽan
Departamento de MatemŽaticas, Universidad Carlos III de Madrid
Avenida Universidad, 30. 28911 LeganŽes. Spain
pacomarc@ing.uc3m.es
Abstract. This paper deals with the bilinear symmetrization problem associated
with Sobolev inner products. Let {Qn}
n=0 be the sequence of monic polynomials
orthogonal with respect to a Sobolev inner product of order 1 when one of the
measures is discrete and the other one is a nondiscrete positive Borel measure.
Furthermore, assume that the supports of such measures are symmetric with re
spect to the origin so that the corresponding odd moments vanish. We consider
