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• W3100488505 abstract "Let $Box_b$ be the Kohn Laplacian acting on $(0,j)$-forms on the unit sphere in $mathbb{C}^n$. In a recent paper of Casarino, Cowling, Sikora and the author, a spectral multiplier theorem of Mihlin--Hormander type for $Box_b$ is proved in the case $0<j<n-1$. Here we prove an analogous theorem in the exceptional cases $j=0$ and $j=n-1$, including a weak type $(1,1)$ endpoint estimate. We also show that both theorems are sharp. The proof hinges on an abstract multivariate multiplier theorem for systems of commuting operators." @default.
• W3100488505 created "2020-11-23" @default.
• W3100488505 creator A5054324013 @default.
• W3100488505 date "2016-11-10" @default.
• W3100488505 modified "2023-09-24" @default.
• W3100488505 title "Joint functional calculi and a sharp multiplier theorem for the Kohn Laplacian on spheres" @default.
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• W3100488505 doi "https://doi.org/10.1007/s00209-016-1813-8" @default.
• W3100488505 hasPublicationYear "2016" @default.
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