Pseudodifferential operators in 𝐿ᵖ(ℝⁿ)

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Abstract

We survey general results on the boundedness of pseudodifferential operators in ð¿áµ–(â„â¿). We mainly consider operators with nonregular symbols which are general versions of Hörmander's class SmðœŒ,ð›¿. We treat the theory in a rather classic and elementary manner.

Keywords

pseudodifferential operator , 𝐿ᵖ boundedness in ℝⁿ , nonregular symbols
  • Ryuichi Ashino Division of Mathematical Sciences, Osaka Kyoiku University Kashiwara, Osaka 582-8582, Japan.
  • Michihiro Nagase Department of Mathematics Graduate School of Science, Osaka University, Toyonaka, Osaka 560-0043, Japan.
  • Rémi Vaillancourt Department of Mathematics and Statistics, University of Ottawa, Ottawa, Ontario, Canada.
  • Pages: 91–129
  • Date Published: 2004-10-01
  • Vol. 6 No. 3 (2004): CUBO, A Mathematical Journal

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Published

2004-10-01

How to Cite

[1]
R. Ashino, M. Nagase, and R. Vaillancourt, “Pseudodifferential operators in 𝐿ᵖ(ℝⁿ)”, CUBO, vol. 6, no. 3, pp. 91–129, Oct. 2004.

Issue

Vol. 6 No. 3 (2004): CUBO, A Mathematical Journal

Section

Articles