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Test Function Criteria for Hankel Operators

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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.

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Authors and Affiliations

  1. Department of Mathematics, University of Glasgow, Glasgow, G12 8QW, United Kingdom

    Sandra Pott

  2. Holy Cross Sixth Form College, Manchester Rd, Bury, BL9 9BB, United Kingdom

    Martin Smith

  3. Department of Mathematics, NUI Maynooth, Maynooth, Co. Kildare, Ireland

    David Walsh

Authors
  1. Sandra Pott
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  2. Martin Smith
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  3. David Walsh
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Correspondence to Sandra Pott.

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Pott, S., Smith, M. & Walsh, D. Test Function Criteria for Hankel Operators. Integr. equ. oper. theory 58, 111–132 (2007). https://doi.org/10.1007/s00020-007-1483-3

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  • DOI: https://doi.org/10.1007/s00020-007-1483-3

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