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- W1489409043 abstract "In this paper, we improve a recent result by Li and Peng on products of functions in $H_L^1(bR^d)$ and $BMO_L(bR^d)$, where $L=-Delta+V$ is a Schrodinger operator with $V$ satisfying an appropriate reverse Holder inequality. More precisely, we prove that such products may be written as the sum of two continuous bilinear operators, one from $H_L^1(bR^d)times BMO_L(bR^d) $ into $L^1(bR^d)$, the other one from $H^1_L(bR^d)times BMO_L(bR^d) $ into $H^{log}(bR^d)$, where the space $H^{log}(bR^d)$ is the set of distributions $f$ whose grand maximal function $mathfrak Mf$ satisfies $$int_{mathbb R^d} frac {|mathfrak M f(x)|}{log (e+ |mathfrak Mf(x)|)+ log(e+|x|)}dx <infty.$$" @default.
- W1489409043 created "2016-06-24" @default.
- W1489409043 creator A5077690287 @default.
- W1489409043 date "2012-04-13" @default.
- W1489409043 modified "2023-09-27" @default.
- W1489409043 title "Bilinear decompositions for the product space $H^1_Ltimes BMO_L$" @default.
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