The weak-type (1,1) of L L homogeneous convolution operators
Terence Tao
Abstract
We show that a homogeneous convolution kernel on an arbitrary homogeneous group which is L L on the unit annulus is bounded on Lp for 1 < p < ∞ and is of weak-type (1,1), generalizing the result of Seeger. The proof is in a similar spirit to that of Christ and Rubio de Francia.
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