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- W4297923707 abstract "The reappearance of a sometimes called exotic behavior for linear and multilinear pseudodifferential operators is investigated. The phenomenon is shown to be present in a recently introduced class of bilinear pseudodifferential operators which can be seen as more general variable coefficient counterparts of the bilinear Hilbert transform and other singular bilinear multipliers operators. The unboundedness on product of Lebesgue spaces but the boundedness on spaces of smooth functions (which is the exotic behavior referred to) of such operators is obtained. In addition, by introducing a new way to approximate the product of two functions, estimates on a new paramultiplication are obtained." @default.
- W4297923707 created "2022-10-01" @default.
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- W4297923707 date "2011-01-01" @default.
- W4297923707 modified "2023-10-16" @default.
- W4297923707 title "Sobolev space estimates for a class of bilinear pseudodifferential operators lacking symbolic calculus" @default.
- W4297923707 hasPublicationYear "2011" @default.
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