title: L/sub p/ boundedness of (C, 1) means of orthonormal expansions for general exponential weights
abstract: Let I be a finite or infinite interval, and let W:I to (0, infinity ). Assume that W/sup 2/ is a weight, so that we may define orthonormal polynomials corresponding to W/sup 2/. For f :R to R, let s/sub m/ [f] denote the mth partial sum of the orthonormal expansion of f with respect to these polynomials. We investigate boundedness in weighted L/sub p/ spaces of the (C, 1) means 1/n /sub m=1/ Sigma /sup n/s/sub m/[f]. The class of weights W/sup 2/ considered includes even and noneven exponential weights
keyphrases: boundedness orthonormal expansions general exponential weights infinite interval orthonormal polynomials mth partial sum finite interval