Weighted estimates for the averaging integral operator
نویسندگان
چکیده
منابع مشابه
Weighted Estimates for the Averaging Integral Operator
Let 1 < p ≤ q < +∞ and let v, w be weights on (0,+∞) satisfying: (?) v(x)xis equivalent to a non-decreasing function on (0,+∞) for some ρ ≥ 0; [w(x)x] ≈ [v(x)x] for all x ∈ (0,+∞). We prove that if the averaging operator (Af)(x) := 1 x R x 0 f(t) dt, x ∈ (0,+∞), is bounded from the weighted Lebesgue space Lp((0,+∞); v) into the weighted Lebesgue space Lq((0,+∞);w), then there exists ε0 ∈ (0, p−...
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ژورنال
عنوان ژورنال: Collectanea mathematica
سال: 2010
ISSN: 0010-0757
DOI: 10.1007/bf03191231