Kernel operators with variable intervals of integration in Lebesgue spaces and applications

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JournalMathematical Inequalities Applications
DatePublished - 1 Jul 2010
Issue number3
Volume13
Number of pages62
Pages (from-to)449–510
Original languageEnglish

Abstract

New criteria of Lp -Lq boundedness of Hardy-Steklov type operator with both
increasing on (0, 8) boundary functions a(x) and b(x) are obtained for 1 < p q < 8 and 0 < q < p < 8, p > 1. This result is applied for two-weighted Lp -Lq characterization of the corresponding geometric Steklov operator and other related problems.

    Research areas

  • Integral operators, Lebesgue spaces, weights, boundedness

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