A Note on Restricted Weak-type Estimates for Bochner-riesz Operators
نویسنده
چکیده
It is shown that the Bochner-Riesz operator on Rn of negative order α is of restricted weak type in the critical points (p0, q0) and (q′ 0, p′0), where 1/q0 = 3/4 + α/2, q0 = p′0/3 for −3/2 < α < 0 in the two-dimensional case and 1/q0 = (n + 1 + 2α)/2n, q0 = (n − 1)p′0/(n + 1), for −(n + 1)/2 < α < −1/2 if n ≥ 3.
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