Boundedness of maximal functions and singular integrals in weighted 𝐿^{𝑝} spaces

Rubio de Francia, José L.

doi:10.1090/S0002-9939-1981-0630035-3

Boundedness of maximal functions and singular integrals in weighted $L^{p}$ spaces
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by José L. Rubio de Francia PDF

Proc. Amer. Math. Soc. 83 (1981), 673-679 Request permission

Abstract:

Given a weight $w(x) > 0$ in ${{\mathbf {R}}^n}$, necessary and sufficient conditions are found for the boundedness of the Hardy-Littlewood maximal function and singular integral operators from ${L^p}(w)$ to some other weighted ${L^p}$ space. The dual question is also considered and partially answered.

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