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The $L(\log L)^ε$ endpoint estimate for maximal singular integral operators

Year: 2015
Type: preprint
Abstract: We prove in this paper the following estimate for the maximal operator $T^*$ associated to the singular integral operator $T$: $ \|T^*f\|_{L^{1,\infty}(w)} \lesssim \frac{1}ε \int_{\mathbb{R}^n} |f(x)| M_{L(\log L)^ε} (w)(x)dx$, for $w\geq 0, 0
Language: English
Open Access status: green
OpenAlex ID: W4394645429
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