V. D. Stepanov, E. P. Ushakova, “Weighted estimates for the integral operators with monotone kernel on a half-axis”, Sibirsk. Mat. Zh., 2004, Volume 45, Number 6,Pages <nobr>1378

This article is cited in 8 papers

Weighted estimates for the integral operators with monotone kernel on a half-axis

V. D. Stepanov, E. P. Ushakova

Computer Centre Far-Eastern Branch of RAS

Abstract: We give criteria for the boundedness of integral operators with nonnegative monotone kernel in the weighted Lebesgue spaces on a half-axis.

Keywords: weighted Lebesgue space, integral operator.

UDC: 517.51

Received: 19.07.2004