Kernel Operators with Variable Intervals of Integration in Lebesgue Spaces and Applications
نویسندگان
چکیده
New criteria of Lp − Lq boundedness of Hardy-Steklov type operator (1.1) with both increasing on (0, ∞) boundary functions a(x) and b(x) are obtained for 1 < p ≤ q < ∞ and 0 < q < p < ∞, p > 1. This result is applied for two-weighted Lp − Lq characterization of the corresponding geometric Steklov operator (1.3) and other related problems.
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