$L^p$-theory of pseudo-differential operators

DOI10.3792/pja/1195520457zbMath0206.10404OpenAlexW2090448027MaRDI QIDQ5606074

Hitoshi Kumano-Go, Michihiro Nagase

Publication date: 1970

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

Full work available at URL: https://doi.org/10.3792/pja/1195520457

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) A priori estimates in context of PDEs (35B45) Elliptic equations and elliptic systems (35J99)

Related Items (11)

L^p-Estimates for certain non-regular eudo-differential operators. ⋮ A local-to-global boundedness argument and Fourier integral operators ⋮ The Stokes operator in \(L_ R\) spaces ⋮ Analyticity of the semigroup generated by the Stokes operator in \(L_r\) spaces ⋮ The fundamental solution for a degenerate parabolic pseudo-dierential operator ⋮ Unnamed Item ⋮ On the boundedness of pseudo-differential operators associated with the Dunkl transform on the real line ⋮ The L^p-boundedness of pseudo-differential operators with non-regular symbols ⋮ Continuity of pseudodifferential operators on mixed-norm Lebesgue spaces ⋮ Some Remarks on the Boundedness of Pseudodifferential Operators ⋮ Domains of fractional powers of the Stokes operator in \(L_ r\) spaces

Cites Work

• Estimates for translation invariant operators in \(L^p\) spaces
• Problèmes aux limites non homogènes. II, III
• Remarks on pseudo-differential operators
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