Boundedness of multilinear operators on Triebel-Lizorkin spaces.

Liu, Lanzhe

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Commutators of sublinear operators generated by Calderón-Zygmund operator on generalized weighted Morrey spaces

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In this paper, the boundedness of a large class of sublinear commutator operators $T_{b}$ generated by a Calderón-Zygmund type operator on a generalized weighted Morrey spaces $M_{p, ϕ} (w)$ with the weight function $w$ belonging to Muckenhoupt’s class $A_{p}$ is studied. When $1 < p < \infty$ and $b \in BMO$ , sufficient conditions on the pair $(ϕ_{1}, ϕ_{2})$ which ensure the boundedness of the operator $T_{b}$ from $M_{p, ϕ_{1}} (w)$ to $M_{p, ϕ_{2}} (w)$ are found. In all cases the conditions for the boundedness of $T_{b}$ are given in terms of Zygmund-type integral inequalities on $(ϕ_{1}, ϕ_{2})$ , which...

Continuity for maximal commutator of Bochner-Riesz operators on some weighted Hardy spaces.

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