Truncations of multilinear Hankel operators

Truncations of multilinear Hankel operators

We extend to multilinear Hankel operators the fact that some truncations of bounded Hankel operators are still bounded. We prove and use a continuity property of bilinear Hilbert transforms on products of Lipschitz spaces and Hardy spaces.

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Veröffentlicht in:Transactions of the American Mathematical Society 2008-03, Vol.360 (3), p.1377-1390
Hauptverfasser: Bonami, Aline, Grellier, Sandrine, Kacim, Mohammad
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Classical Analysis and ODEs
Complex Variables
Exact sciences and technology
Hankel operators
Integers
Mathematical analysis
Mathematical constants
Mathematical functions
Mathematical theorems
Mathematics
Operator theory
Polynomials
Property taxes
Sciences and techniques of general use
Truncation
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Beschreibung
Zusammenfassung:We extend to multilinear Hankel operators the fact that some truncations of bounded Hankel operators are still bounded. We prove and use a continuity property of bilinear Hilbert transforms on products of Lipschitz spaces and Hardy spaces.
ISSN:0002-9947
1088-6850
DOI:10.1090/S0002-9947-07-04185-2