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L P-distributions on symmetric spaces

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Abstract

The notion of L p-distributions is introduced on Riemannian symmetric spaces of noncompact type and their main properties are established. We use a geometric description for the topology of the space of test functions in terms of the Laplace-Beltrami operator. The techniques are based on a-priori estimates for elliptic operators. We show-that structure theorems, similar to ℝn, hold on symmetric spaces. We give estimates for the convolutions.

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  1. Mathematics Department, Imperial College, 180 Queen’s Gate, London, SW7 2AZ, UK

    Michael Ruzhansky

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  1. Michael Ruzhansky
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Correspondence to Michael Ruzhansky.

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Ruzhansky, M. L P-distributions on symmetric spaces. Results. Math. 44, 159–168 (2003). https://doi.org/10.1007/BF03322922

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  • DOI: https://doi.org/10.1007/BF03322922

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