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Polynomial approximation in weighted Dirichlet spaces

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Abstract

We give an elementary proof of an analogue of Fejér’s theorem in weighted Dirichlet spaces with superharmonic weights. This provides a simple way of seeing that polynomials are dense in such spaces.

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Funding

JM supported by an NSERC grant. TR supported by grants from NSERC and the Canada Research Chairs program.

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Correspondence to Thomas Ransford.

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Mashreghi, J., Ransford, T. Polynomial approximation in weighted Dirichlet spaces. Complex Anal Synerg 7, 11 (2021). https://doi.org/10.1007/s40627-021-00078-9

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  • DOI: https://doi.org/10.1007/s40627-021-00078-9

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