Abstract
In this work, we study the continuity of pseudodifferential operators on local Hardy spaces hp(ℝn) and generalize the results due to Goldberg and Taylor by showing that operators with symbols in S1,δ0(ℝn), 0≤δ<1, and in some subclasses of S1,10(ℝn) are bounded on hp(ℝn) (0<p≤1). As an application, we study the local solvability of the planar vector field L=∂t+ib(x,t)∂x, b(x,t)≥0, in spaces of mixed norm involving Hardy spaces.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
