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Norms of Toeplitz and Hankel Operators on Hardy Type Subspaces of Rearrangement-Invariant Spaces

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Abstract.

We prove analogues of the Brown-Halmos and Nehari theorems on the norms of Toeplitz and Hankel operators, respectively, acting on subspaces of Hardy type of reflexive rearrangement-invariant spaces with nontrivial Boyd indices.

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  1. Departamento de Matemáatica, Instituto Superior Técnico, Av. Rovisco Pais, 1, Lisboa, 1049-001, Portugal

    Alexei Yu. Karlovich

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  1. Alexei Yu. Karlovich
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Correspondence to Alexei Yu. Karlovich.

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Karlovich, A.Y. Norms of Toeplitz and Hankel Operators on Hardy Type Subspaces of Rearrangement-Invariant Spaces. Integr. equ. oper. theory 49, 43–64 (2004). https://doi.org/10.1007/s00020-002-1190-z

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  • DOI: https://doi.org/10.1007/s00020-002-1190-z

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