Abstract
Lp Lq-boundedness of the map f ! w(x) R b(x) a(x) k(x,y)f(y)v(y)dy is described by dierent types of criteria expressed in terms of given parameters 0 < p,q < 1, 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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