On a joint approximation question in Hp spaces

We consider Mergelyan sets and Farrell sets for H p ( 1 ≤ p < ∞ ) spaces in the unit disc for both the weak topology and the norm topology, and give a short proof of a theorem of Pérez-González which answers a question proposed by Rubel and Stray (J Approx Theory 37:44–50, 1983).

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Bibliographic Details
Published in:Archiv der Mathematik 2020, Vol.115 (4), p.419-422
Main Author: Danielyan, Arthur A.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Questions
Topology
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Description
Summary:We consider Mergelyan sets and Farrell sets for H p ( 1 ≤ p < ∞ ) spaces in the unit disc for both the weak topology and the norm topology, and give a short proof of a theorem of Pérez-González which answers a question proposed by Rubel and Stray (J Approx Theory 37:44–50, 1983).
ISSN:0003-889X
1420-8938
DOI:10.1007/s00013-020-01478-9