Compact composition operators on the Smirnov class

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We show that a composition operator on the Smirnov class N+ is compact if and only if it is compact on some (equivalently: every) Hardy space H-p for 0 < p < infinity. Along the way we show that for composition operators on N+ both the formally weaker notion of boundedness, and a formally stronger notion we call metric compactness, are equivalent to compactness.
Publisher
Amer Mathematical Soc
Issue Date
2000-08
Language
English
Article Type
Article
Citation

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, v.128, no.8, pp.2297 - 2308

ISSN
0002-9939
URI
http://hdl.handle.net/10203/69688
Appears in Collection
MA-Journal Papers(저널논문)
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