Boundedness and compactness in weighted Lebesgue spaces of integral operators with variable integration limits

2011

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DOI 10.1134/s0037446611060097
Data confidence 70 medium
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Abstract

Considering the integral operators with nonnegative kernels and variable integration limits, we obtain criteria of boundedness and compactness in weighted Lebesgue spaces under some conditions on the kernels that are weaker than those studied before.