An $L^p$-spectral multiplier theorem with sharp $p$-specific regularity bound on Heisenberg type groups

Lars Niedorf

REVIEW

An $L^p$-spectral multiplier theorem with sharp $p$-specific regularity bound on Heisenberg type groups

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2203.01307 v5 pith:7LIPR7N7 submitted 2022-03-02 math.AP math.FA

Lars Niedorf This is my paper · ORCID

classification math.APmath.FA

keywords multipliertypegroupgroupsheisenbergregularitysharpspectral

verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments

abstract

We prove an $L^p$-spectral multiplier theorem for sub-Laplacians on Heisenberg type groups under the sharp regularity condition $s>d\left|1/p-1/2\right|$, where $d$ is the topological dimension of the underlying group. Our approach relies on restriction type estimates where the multiplier is additionally truncated along the spectrum of the Laplacian on the center of the group.

Discussion (0). Continue with ORCID to comment.

Pith tools