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Weighted Endpoint Variational and Jump Inequalites for Rough Singular Integrals
In this present paper, we study the weighted weak type $(1,\,1)$ bounds for rough maximal singular integral operators as well as the the corresponding variation and jump operators. Our first result is the weighted weak type $(1,\,1)$ bound for the maximal singular integral $$T_Ω^{*}f(x)=\sup\limit
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