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Test Function Criteria for Hankel Operators |
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| Authors: | Sandra Pott Martin Smith David Walsh |
| Affiliation: | (1) Department of Mathematics, University of Glasgow, Glasgow, G12 8QW, United Kingdom;(2) Holy Cross Sixth Form College, Manchester Rd, Bury, BL9 9BB, United Kingdom;(3) Department of Mathematics, NUI Maynooth, Maynooth, Co. Kildare, Ireland |
| Abstract: | It is well known that there are classes of test functions such that a Hankel operator is bounded if and only if it is bounded on those functions. Criteria are derived which determine whether a Hankel operator is compact or belongs to a particular Schatten class, in terms of its action on those test functions. |
| Keywords: | Mathematics Subject Classification (2000). Primary 47B35 47B10 |
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