Weighted norm inequalities for polynomial expansions associated to some measures with mass points

Fourier series in orthogonal polynomials with respect to a measurev on ?1, 1] are studied whenv is a linear combination of a generalized Jacobi weight and finitely many Dirac deltas in ?1, 1]. We prove some weighted norm inequalities for the partial sum operatorsS _n, their maximal operatorS ^*, and the commutator M _b, S_n], whereM _b denotes the operator of pointwise multiplication byb ∈BMO. We also prove some norm inequalites forS _n whenv is a sum of a Laguerre weitht onR ⁺ and a positive mass on 0.