Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

Request Permissions   Purchase Content 
 
 

 

Bilinear operators with homogeneous symbols, smooth molecules, and Kato-Ponce inequalities


Authors: Joshua Brummer and Virginia Naibo
Journal: Proc. Amer. Math. Soc.
MSC (2010): Primary 47G30, 42B35; Secondary 46E35
DOI: https://doi.org/10.1090/proc/13841
Published electronically: October 5, 2017
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 47G30, 42B35, 46E35

Retrieve articles in all journals with MSC (2010): 47G30, 42B35, 46E35


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
Email: vnaibo@math.ksu.edu

DOI: https://doi.org/10.1090/proc/13841
Keywords: Pseudodifferential operators, homogeneous symbols, smooth molecules, Kato-Ponce inequalities.
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
Article copyright: © Copyright 2017 American Mathematical Society