On L2-Boundedness of h-Pseudodifferential Operators
Let Tah be the h-pseudodifferential operators with symbol a. When a∈Sρ,1m and m=nρ−1/2, it is well known that Tah is not always bounded in L2ℝn. In this paper, under the condition ax,ξ∈L∞Sρnρ−1/2ω, we show that Tah is bounded on L2.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/6690963 |