Near p=2, Hausdorff-Young constants in Lorentz spaces are shown to blow up at explicit rates, and grand Lorentz sequence spaces convert this into endpoint inequalities that refine Bochkarev's bound.
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On Herz-Bochkarev limiting problem
Near p=2, Hausdorff-Young constants in Lorentz spaces are shown to blow up at explicit rates, and grand Lorentz sequence spaces convert this into endpoint inequalities that refine Bochkarev's bound.