2014 | OriginalPaper | Buchkapitel
Products of Toeplitz and Hankel Operators on the Hardy Space of the Unit Sphere
verfasst von : Hocine Guediri
Erschienen in: Concrete Operators, Spectral Theory, Operators in Harmonic Analysis and Approximation
Verlag: Springer Basel
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The aim of this note is to discuss boundedness and compactness of Hankel products and mixed Toeplitz–Hankel products on the Hardy space of the unit sphere in several complex variables. The main adopted tool is an auxiliary pioneering operator involved in an earlier investigation of dual Toeplitz operators on the orthogonal complement of the Hardy space on the unit sphere.