The \(L^ p\)-boundedness of pseudo-differential operators satisfying estimates of parabolic type and product type. II

DOI10.3792/pjaa.61.95zbMath0613.35081OpenAlexW1996182954MaRDI QIDQ1819299

Masao Yamazaki

Publication date: 1985

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.61.95

zbMATH Keywords

smoothnessweighted \(L^ p\)-boundedness\(L^ p\)-boundedness of pseudo-differential operatorsmultiple modulus of growth and continuityproduct type estimates

Mathematics Subject Classification ID

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) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (2)

The weighted \(L^ p\)-boundedness of product-type pseudodifferential operators ⋮ A note on weighted estimates for certain classes of pseudodifferential operators

Cites Work

• Unnamed Item
• The \(L^ p\)-boundedness of pseudodifferential operators with estimates of parabolic type and product type
• The \(L^ p\)-boundedness of pseudo-differential operators satisfying estimates of parabolic type and product type
• On some classes of \(L^ p\)-bounded pseudo-differential operators
• On sufficient conditions for the boundedness of pseudo-differential operators
• Calderón-zygmund operators and pseudo-differential operators
• L^p-Estimates for certain non-regular eudo-differential operators.

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