Pointwise multipliers for functions of weighted bounded mean oscillation
Pointwise multipliers for functions of weighted bounded mean oscillation
For $w : โ^{n} ร โ_{+} โ โ_{+}$ and 1 โค p < โ, let $bmo_{{}w,p}(โ^n)$ be the set of locally integrable functions f on $โ^n$ for which $sup_{I}(1/w(I) ส_{I} |f(x)-f_{I}|^p dx)^{1/p} < โ$ where I = I(a,r) is the cube with center a whose edges have length r