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- W4313256424 abstract "We prove mapping properties of pseudodifferential operators with rough symbols on Hardy spaces for Fourier integral operators. The symbols a(x,η) are elements of C * S 1, classes that have limited regularity in the x variable. We show that the associated pseudodifferential operator a(x, D) maps between Sobolev spaces ℌ FIO (ℝn) and ℌ FIO (ℝn) over the Hardy space for Fourier integral operator ℌ FIO (ℝn). Our main result implies that for m = 0, δ =l/2 and r > n − 1, a(x, D) acts boundedly on ℌ FIO (ℝn) for all p ∈ (1, ∞)." @default.
- W4313256424 created "2023-01-06" @default.
- W4313256424 creator A5043750762 @default.
- W4313256424 date "2022-12-27" @default.
- W4313256424 modified "2023-10-11" @default.
- W4313256424 title "Rough pseudodifferential operators on Hardy spaces for Fourier integral operators" @default.
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- W4313256424 doi "https://doi.org/10.1007/s11854-022-0247-y" @default.
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