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

2023/04/18 by Li, Xiang, Gu, Zhanpeng, Yan, Dunyan +1
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Primary 42B35 #Secondary 26D15

paper · doi:10.48550/arxiv.2304.08755

Abstract

In this paper, we will use the conclusions and methods in \cite1 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-Pólya operator and Hilbert operator are also obtained.

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