Below the critical index, the a.e. convergence problem for Bochner-Riesz means cannot be posed for all L^p functions and fails for some functions in the admissible subclass C_{p,δ}.
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On almost everywhere convergence of Bochner--Riesz means below the critical index
Below the critical index, the a.e. convergence problem for Bochner-Riesz means cannot be posed for all L^p functions and fails for some functions in the admissible subclass C_{p,δ}.