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math.AP2024
Boundedness of fractional integrals and fractional derivatives on Laguerre Lipschitz spaces
He Wang, Jizheng Huang, Yu Liu
In this paper, we study the boundedness of a class of fractional integrals and derivatives associated with Laguerre polynomial expansions on Laguerre Lipschitz spaces. The consider…
math.AP2019
Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations
Jizheng Huang, Pengtao Li, Yu Liu +1
Let be a metric measure space with upper and lower densities: $$ \begin{cases} |||μ|||_β:=\sup_{(x,r)\in \mathbb M\times(0,\infty)} μ(B(x,r))r^{-β}<\infty;\\ |||…