The weighted \(L^ p\)-boundedness of product-type pseudodifferential operators

DOI10.1016/0001-8708(89)90003-0zbMath0676.35090OpenAlexW2063979501MaRDI QIDQ1122714

Masao Yamazaki

Publication date: 1989

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(89)90003-0

zbMATH Keywords

product domainsestimatessmoothnessmaximal inequalityparadifferential operators\(A^{r/p}\)-weight of Muckenhouptnon-regular simple and double symbolsunweighted \(L^ p\)-boundedness

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Pseudodifferential operators as generalizations of partial differential operators (35S05) Stability in context of PDEs (35B35)

Cites Work

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• L^p-Estimates for certain non-regular eudo-differential operators.
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