Córdoba–fefferman Collections in Harmonic Analysis
نویسندگان
چکیده
Córdoba–Fefferman collections are defined and used to characterize functions whose corresponding maximal functions are locally integrable. Córdoba–Fefferman collections are also used to show that, if Mx and My respectively denote the one-dimensional Hardy–Littlewood maximal operators in the horizontal and vertical directions in R, MHL denotes the standard Hardy–Littlewood maximal operator in R, and f is a measurable function supported in the unit square Q = [0, 1] × [0, 1], then ∫ Q MHLf ∼ ∫ Q Mxf + ∫ Q Myf .
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