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- W4232180593 abstract "Conditions on nonnegative weight functions $u(x)$ and $upsilon (x)$ are given which ensure that an inequality of the form ${(smallint {left | {Tf(x)} right |^q}u(x);dx)^{1/q}} leqslant C{(smallint {left | {f(x)} right |^p}upsilon (x);dx)^{1/p}}$ holds for $1 leqslant q < p < infty$, where $T$ is an integral operator of the form $int _{ - infty }^x {K(x,y)f(y)dy}$ or $int _x^infty {K(y,x)f(y);dy}$ and $C$ a constant independent of $f$. Specifically a number of inequalities for well-known classical operators are obtained. Inequalities of the above form for $1 leqslant p leqslant q < infty$ were obtained in [1]." @default.
- W4232180593 created "2022-05-12" @default.
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- W4232180593 date "1985-11-01" @default.
- W4232180593 modified "2023-09-26" @default.
- W4232180593 title "Weighted Norm Inequalities for Certain Integral Operators. II" @default.
- W4232180593 doi "https://doi.org/10.2307/2045808" @default.
- W4232180593 hasPublicationYear "1985" @default.
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