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A1 bounds for Calderón-Zygmund operators related to a problem of Muckenhoupt and Wheeden
(International Press Boston, 2009-12)
We obtain an Lp(ω) bound for Calderón-Zygmund operators T when w∈ A1. This bound is sharp both with respect to ||ω||A1 and with respect to p. As a result, we get a new L1,∞°(ω) estimate for T related to a problem of ...
An elementary proof of the continuity from L20(Ω) to H10(Ω)n of Bogovskii’s right inverse of the divergence
(Unión Matemática Argentina, 2012-03)
The existence of right inverses of the divergence as an operator from H1 0 (Ω)n to L 2 0(Ω) is a problem that has been widely studied because of its importance in the analysis of the classic equations of fluid dynamics. ...