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Anisotropic Classes of Inhomogeneous Pseudodifferential Symbols
Collectanea Mathematica
  • Árpád Bényi, Western Washington University
  • Marcin Bownik
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We introduce a class of pseudodifferential operators in the anisotropic setting induced by an expansive dilation A which generalizes the classical isotropic class Smγ,δ of inhomogeneous symbols. We extend a well-known L 2-boundedness result to the anisotropic class S0δ,δ(A), 0 ≤ δ < 1. As a consequence, we deduce that operators with symbols in the anisotropic class S01,0(A) are bounded on L p spaces, 1 < p < ∞.

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This version is the author's post print.


This version is the author's post print.

Citation Information
Árpád Bényi and Marcin Bownik. "Anisotropic Classes of Inhomogeneous Pseudodifferential Symbols" Collectanea Mathematica Vol. 64 Iss. 2 (2013) p. 155 - 173
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