<Original>Boundedness of Pseudodifferential Operators with Double Symbols

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概要

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• In this paper we consider pseudodifferential operators with non-regular double symbols p (x, ζ, y) and give another proof of the sufficient condition for L^2-boundedness which Yamazaki obtained. The sufficient condition requires some continuity with respect to x ∈ R^n and y and the differentiability of nth order in the sense of the Besov space. Since we do not need the theorem concerning the strong maximal function, our proof is simpler than Yamazaki's proof.

• 日本大学の論文
• 2000-12-25

著者

• Miyazaki Yoichi

  日本大学歯学部

関連論文

• Boundedness of Pseudodifferential Operators with Double Symbols
• Tauberian theorem by Avakumovic
• Behavior of the spectral function for the biharmonic operator near the boundary
• Behavior of the spectral function for the Laplacian near the boundary

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