Singular Integrals Along N Directions in R²
classification
🧮 math.CA
keywords
alongdirectionsmaximaloptimalsingulararbitraryatorbound
read the original abstract
We prove optimal bounds in L^2(R^2) for the maximal oper- ator obtained by taking a singular integral along N arbitrary directions in the plane. We also give a new proof for the optimal L^2 bound for the single scale Kakeya maximal function.
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