Bilinear operators with homogeneous symbols, smooth molecules, and Kato-Ponce inequalities
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- by Joshua Brummer and Virginia Naibo PDF
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Abstract:
We present a unifying approach to establish mapping properties for bilinear pseudodifferential operators with homogeneous symbols in the settings of function spaces that admit a discrete transform and molecular decompositions in the sense of Frazier and Jawerth. As an application, we obtain related Kato-Ponce inequalities.References
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Additional Information
- Joshua Brummer
- Affiliation: Department of Mathematics, Kansas State University, 138 Cardwell Hall, 1228 N. 17th Street, Manhattan, Kansas 66506
- Email: brummerjd@math.ksu.edu
- Virginia Naibo
- Affiliation: Department of Mathematics, Kansas State University, 138 Cardwell Hall, 1228 N. 17th Street, Manhattan, Kansas 66506
- MR Author ID: 678614
- ORCID: 0000-0002-5440-6714
- Email: vnaibo@math.ksu.edu
- Received by editor(s): December 14, 2016
- Received by editor(s) in revised form: May 5, 2017
- Published electronically: October 5, 2017
- Additional Notes: The authors were partially supported by the NSF under grant DMS 1500381.
- Communicated by: Svitlana Mayboroda
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 1217-1230
- MSC (2010): Primary 47G30, 42B35; Secondary 46E35
- DOI: https://doi.org/10.1090/proc/13841
- MathSciNet review: 3750234