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Estimates for the maximal function of Hardy-Littlewood and the maximal Hilbert transform with weighted measures
Introduction.When we consider the Hubert transform f(x) = v. p.I J-^-dt J_ OQ 3' t of a function f, we have to treat the function f.(x) = I J-±-l dt.In particular, it is interesting to estimate the maximal Hubert transform /%r) = sup|/ β (;r)| by the measure m(e)= I …