Abstract
We prove weighted vector-valued weak type (1,1) inequalities for some rough operators. Here we consider A1 weights. As application, we prove weighted weak type estimates for square functions of Littlewood-Paley type arising from Bochner-Riesz means of the critical order on the weighted Hardy spaces H (w ∈ A1) and weighted weak type (1,1) estimates for some singular integral operators and convolution operators with oscillating kernels.
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