On Boundedness of a Certain Class of Hardy–steklov Type Operators in Lebesgue Spaces
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چکیده
Lp−Lq–boundedness of the map f → w(x) ∫ b(x) a(x) k(x, y)f(y)v(y)dy is described by different types of criteria expressed in terms of given parameters 0 < p, q < ∞, strictly increasing boundaries a(x) and b(x), locally integrable weight functions v, w and a positive continuous kernel k(x, y) satisfying some growth conditions.
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تاریخ انتشار 2010