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- W2067961514 abstract "We prove weighted norm inequalities for pseudodifferential operators with amplitudes which are only measurable in the spatial variables. The result is sharp, even for smooth amplitudes. Nevertheless, in the case when the amplitude contains the oscillatory factor ξ ↦ e i | ξ | 1 − ρ , the result can be substantially improved. We extend the L p -boundedness of pseudo-pseudodifferential operators to certain weights. End-point results are obtained when the amplitude is either smooth or satisfies a homogeneity condition in the frequency variable. Our weighted norm inequalities also yield the boundedness of commutators of these pseudodifferential operators with functions of bounded mean oscillation." @default.
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- W2067961514 date "2010-06-01" @default.
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- W2067961514 title "Weighted norm inequalities for pseudo-pseudodifferential operators defined by amplitudes" @default.
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- W2067961514 doi "https://doi.org/10.1016/j.jfa.2010.03.013" @default.
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