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Kernel operators with variable intervals of integration in Lebesgue spaces and applications
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| Journal | Mathematical Inequalities Applications |
|---|---|
| Date | Published - 1 Jul 2010 |
| Issue number | 3 |
| Volume | 13 |
| Number of pages | 62 |
| Pages (from-to) | 449–510 |
| Original language | English |
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.
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.
- Integral operators, Lebesgue spaces, weights, boundedness
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