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John Freeland Small

Publications and source records attributed to John Freeland Small.

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The Bellman Function for Level Sets of Sparse Operators

We investigate weak-type $(1, 1)$ boundedness of sparse operators with respect to Lebesgue measure. Specifically, we find the Bellman function maximizing level sets of sparse operators (localized to an interval) and use this to find the exact weak-$(1,1)$ norm of these sparse operators.

math.CA