Article
Anisotropic Classes of Inhomogeneous Pseudodifferential Symbols
Collectanea Mathematica
Document Type
Article
Publication Date
1-1-2013
Keywords
- Anisotropic inhomogeneous symbols,
- Calderón–Zygmund operators,
- Anisotropic elementary symbols
Disciplines
Abstract
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 < ∞.
DOI
http://dx.doi.org/10.1007/s13348-011-0056-6
Comments
This version is the author's post print.
Subjects - Topical (LCSH)
Pseudodifferential operators; Calderón-Zygmund operator
Genre/Form
articles
Type
Text
Rights
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.
Language
English
Format
application/pdf
Citation Information
Árpád Bényi and Marcin Bownik. "Anisotropic Classes of Inhomogeneous Pseudodifferential Symbols" Collectanea Mathematica Vol. 64 Iss. 2 (2013) p. 155 - 173 Available at: http://works.bepress.com/arpad_benyi/10/
This version is the author's post print.