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- W2949467274 abstract "In this work, we develop $L^p$ boundedness theory for pseudodifferential operators with rough (not even continuous in general) symbols in the $x$ variable. Moreover, the $B(L^p)$ operator norms are estimated explicitly in terms of scale invariant quantities involving the symbols. All the estimates are shown to be sharp with respect to the required smoothness in the $xi$ variable. As a corollary, we obtain $L^p$ bounds for (smoothed out versions of) the maximal directional Hilbert transform and the Carleson operator." @default.
- W2949467274 created "2019-06-27" @default.
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- W2949467274 date "2007-01-29" @default.
- W2949467274 modified "2023-09-27" @default.
- W2949467274 title "Pseudodifferential operators with rough symbols" @default.
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- W2949467274 hasPublicationYear "2007" @default.
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