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- W3103453061 abstract "In a recent work by A. Martini and A. Sikora (arXiv:1204.1159), sharp L^p spectral multiplier theorems for the Grushin operators acting on $R^{d_1} times R^{d_2}$ are obtained in the case $d_1 geq d_2$. Here we complete the picture by proving sharp results in the case $d_1 < d_2$. Our approach exploits L^2 weighted estimates with extra weights depending only on the second factor of $R^{d_1} times R^{d_2}$ (in contrast with the mentioned work, where the extra weights depend on the first factor) and gives a new unified proof of the sharp results without restrictions on the dimensions." @default.
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- W3103453061 date "2014-01-01" @default.
- W3103453061 modified "2023-10-09" @default.
- W3103453061 title "A sharp multiplier theorem for Grushin operators in arbitrary dimensions" @default.
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- W3103453061 doi "https://doi.org/10.4171/rmi/814" @default.
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