Proceedings of the American Mathematical Society

Author(s): Michael T. Lacey; Erin Terwilleger; Brett D. Wick
Journal: Proc. Amer. Math. Soc. 134 (2006), 465-474.
MSC (2000): Primary 42B30, 47B35
Posted: July 7, 2005
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Abstract: Well known results related to the compactness of Hankel operators of one complex variable are extended to little Hankel operators of two complex variables. Critical to these considerations is the result of Ferguson and Lacey (2002) characterizing the boundedness of the little Hankel operators in terms of the product BMO of S.-Y. Chang and R. Fefferman (1985), (1980).

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 42B30, 47B35

Michael T. Lacey
Affiliation: School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia 30332
Email: lacey@math.gatech.edu

Erin Terwilleger
Affiliation: Department of Mathematics, University of Connecticut, Storrs, Connecticut 06269-3009
Email: terwilleger@math.uconn.edu

Brett D. Wick
Affiliation: Department of Mathematics, Brown University, Providence, Rhode Island 02912
Email: bwick@math.brown.edu

DOI: 10.1090/S0002-9939-05-07974-8
PII: S 0002-9939(05)07974-8
Received by editor(s): May 7, 2004
Received by editor(s) in revised form: September 21, 2004
Posted: July 7, 2005
Additional Notes: The first author was supported by an NSF grant.
The second author's research was supported in part by an NSF VIGRE grant to the Georgia Institute of Technology.
The third author's research was supported in part by an NSF VIGRE grant to Brown University.
Communicated by: Joseph A. Ball
Copyright of article: Copyright 2005, American Mathematical Society

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