arXiv Analytics

Sign in

arXiv:1707.09710 [math.FA]AbstractReferencesReviewsResources

Pseudo-differential operators with symbols in the Hörmander class $S^0_{α,α}$ on $α$-modulation spaces

Tomoya Kato, Naohito Tomita

Published 2017-07-31Version 1

In this paper, we study the boundedness of pseudo-differential operators with symbols in the H\"ormander class $S^0_{\rho,\rho}$ on $\alpha$-modulation spaces $M_{p,q}^{s,\alpha}$, and consider the relation between $\alpha$ and $\rho$.

Comments: 12 pages
Categories: math.FA, math.AP
Subjects: 35S05, 42B35
Related articles: Most relevant | Search more
arXiv:0707.0391 [math.FA] (Published 2007-07-03)
On the $L^2$-boundedness of pseudo-differential operators and their commutators with symbols in $α$-modulation spaces
arXiv:0710.0557 [math.FA] (Published 2007-10-02)
Trace ideals for pseudo-differential operators and their commutators with symbols in $α$-modulation spaces
arXiv:1504.05720 [math.FA] (Published 2015-04-22)
Boundedness of Pseudo-Differential Operators on $L^p$, Sobolev, and Modulation Spaces

Links

Toolbox