A Note on Maximal Averages in the Plane
classification
🧮 math.CA
keywords
maximalgivealfonsecaarbitraryaveragescordobadirectionsestimate
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Using variants of the TT* method we give a self-contained proof of the result of Alfonseca, Soria and Vargas on maximal operators on arbitrary directions in $\rr^2$. We also give a sharp $L^2$ estimate for a maximal function extending a Theorem of Cordoba.
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