Two weight norm inequalities for fractional one-sided maximal and integral operators
نویسندگان
چکیده
In this paper, we give a generalization of Fefferman-Stein inequality for the fractional one-sided maximal operator: Z +∞ −∞ M α (f)(x) w(x) dx ≤ Ap Z +∞ −∞ |f(x)|M αp(w)(x) dx, where 0 < α < 1 and 1 < p < 1/α. We also obtain a substitute of dual theorem and weighted norm inequalities for the one-sided fractional integral I α .
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تاریخ انتشار 2010