Bilinear pseudo-differential operators with symbols in general Hörmander classes BS_{ρ,δ}^m are bounded from H^p × H^q to L^r under the order condition m ≤ m_ρ(p,q) - n max{δ-ρ,0}/max{r,2}, extending prior results to δ > ρ.
Sharp function and weighted Lp estimates for pseudo-differential opera- tors with symbols in general H¨ ormander classes
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Obtains pointwise sparse bounds for rough pseudodifferential operators with measurable spatial symbols and gives sufficient conditions that recover known sparse bounds for symbols in S^0_{1,δ} with δ < 1.
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Weighted and unweighted regularity of bilinear pseudo-differential operators with symbols in general H\"{o}rmander classes
Bilinear pseudo-differential operators with symbols in general Hörmander classes BS_{ρ,δ}^m are bounded from H^p × H^q to L^r under the order condition m ≤ m_ρ(p,q) - n max{δ-ρ,0}/max{r,2}, extending prior results to δ > ρ.
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Some More Sparse Bounds for Rough and Smooth Pseudodifferential Operators
Obtains pointwise sparse bounds for rough pseudodifferential operators with measurable spatial symbols and gives sufficient conditions that recover known sparse bounds for symbols in S^0_{1,δ} with δ < 1.