Anisotropic inhomogeneous symbols, Calderón–Zygmund operators, Anisotropic elementary symbols
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 < ∞.
Required Publisher's Statement
The final publication is available at Springer via http://dx.doi.org/10.1007/s13348-011-0056-6
Bényi, Árpád and Bownik, Marcin, "Anisotropic Classes of Inhomogeneous Pseudodifferential Symbols" (2013). Mathematics Faculty Publications. 45.
Subjects - Topical (LCSH)
Pseudodifferential operators; Calderón-Zygmund operator
Copying of this document in whole or in part is allowable only for scholarly purposes. It is understood, however, that any copying or publication of this document for commercial purposes, or for financial gain, shall not be allowed without the author’s written permission.
This version is the author's post print.