Abstract

In this note we give a generalization of a result of Aronszajn and Smith [i] concerning sections of exceptional sets for the spaces of Bessel potentials on Rn of L2 functions and restrictions of functions in these spaces. For the sake of completeness we recall briefly the relevant definitions and theorems. We refer for details to [2]. Throughout this paper we will be concerned with functions defined on the space Rn; we write f for fe, LP for LP(Rn), Co' for Co (Rn), etc. The Bessel kernel Ga on Rn of order a> 0 is defined as the inverse Fourier transform of the function

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