The Weighted $ \boldsymbol{L}^{\boldsymbol{p}} $ estimates for the fractional Hardy operator and a class of integral operators on the Heisenberg group

In the setting of a Heisenberg group, we first studied the sharp weak estimate for the $ n $-dimensional fractional Hardy operator from $ L^p $ to $ L^{q, \infty} $. Next, we studied the sharp bounds for the $ m $-linear $ n $-dimensional integral operator with a kernel on weighted Lebesgue spaces....

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Bibliographic Details
Main Authors: Tianyang He, Zhiwen Liu, Ting Yu
Format: Article
Language:English
Published: AIMS Press 2025-01-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2025041
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