Pseudodifferential operators on $L^p$, Wiener amalgam and modulation spaces

Details Pseudodifferential operators on $L^p$, Wiener amalgam and modulation spaces Pseudodifferential operators on $L^p$, Wiener amalgam and modulation spaces

2009-04-10

arxiv.org/abs/0904.1691v1

Mathematics

Analysis of PDEs

27 pages

Scientific paper

We give a complete characterization of the continuity of pseudodifferential operators with symbols in modulation spaces $M^{p,q}$, acting on a given Lebesgue space $L^r$. Namely, we find the full range of triples $(p,q,r)$, for which such a boundedness occurs. More generally, we completely characterize the same problem for operators acting on Wiener amalgam space $W(L^r,L^s)$ and even on modulation spaces $M^{r,s}$. Finally the action of pseudodifferential operators with symbols in $W(\Fur L^1,L^\infty)$ is also investigated.

Affiliated with

Also associated with

No associations

Rating

Pseudodifferential operators on $L^p$, Wiener amalgam and modulation spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Pseudodifferential operators on $L^p$, Wiener amalgam and modulation spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Pseudodifferential operators on $L^p$, Wiener amalgam and modulation spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-674042