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Toeplitz-Hankel type operators on product spaces

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Approximation Theory and its Applications

Abstract

Via a series of orthogonal two-dimensional wavelets, an orthogonal decomposition of the space of square integral functions on U×U (U is the upper half-plane) with the measurey a 1 y a 1 dx 1 dx 2 dx 1 dx 2 is given. Four kinds of Toeplitz-Hankel type operators between the decomposition components are defined and boundedness, Sp properties of them are established.

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Authors and Affiliations

  1. Department of Mathematics, Peking University, 100871, Beijing, P. R. China

    Jiang Qingtang

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  1. Jiang Qingtang
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Additional information

Research was supported by the National Natural Science Foundation of China.

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Qingtang, J. Toeplitz-Hankel type operators on product spaces. Approx. Theory & its Appl. 9, 9–23 (1993). https://doi.org/10.1007/BF02836267

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  • DOI: https://doi.org/10.1007/BF02836267

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