Sharp bounds for a class of integral operators in weighted-type spaces on Heisenberg group

Abstract

In this paper, we will use the conclusions and methods in 1 to obtain the sharp bounds for a class of integral operators with the nonnegative kernels in weighted-type spaces on Heisenberg group. As promotions, the sharp bounds of Hardy operator , Hardy Littlewood-P\'olya operator and Hilbert operator are also obtained.

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