In this article, we show that a function f∈Ms,p(X),f∈Ms,p(X), 0<s≤1,0<s≤1, 0<p<1,0<p<1, where XX is a doubling metric measure space, has generalized Lebesgue points outside a set of HhHh-Hausdorff measure zero for a suitable gauge function h.h.
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