Two-weight mixed ф-inequalities for the one-sided maximal function
نویسندگان
چکیده
منابع مشابه
Two weight norm inequalities for fractional one-sided maximal and integral operators
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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p A v = u , (1) holds for t = ) t ( = ) t ( , but not if 1 = p . Also for each < p 1 there exists a pair p A ) v , u ( so that (1) fails in the special case t = ) t ( = ) t ( [3, p. 395]. In these exceptional cases we have a weak type inequality. An excellent reference is the book by J.Garcia-Cuerva and J.L.Rubio de Francia [3]. We refer the reader interested in the current stat...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 1995
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-115-1-1-22