In this paper we investigate the $L^p$-boundedness of certain classes of periodic pseudo-differential operators. The operators considered arise from the study of symbols on $\mathbb{T}^n\times\mathbb{Z}^n$ with limited regularity.
On $L^2$-boundedness of pseudo-multipliers associated to the Grushin operator
Chemotaxis effect vs logistic damping on boundedness in the 2-D minimal Keller-Segel model
$L^2$ boundedness of pseudodifferential operators on manifolds with ends
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