Pith. sign in

REVIEW

Estimates for the variable order Riesz potential with applications

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 2111.10141 v1 pith:EUQMTIR5 submitted 2021-11-19 math.FA

Petteri Harjulehto , Ritva Hurri-Syrjänen This is my paper · ORCID
classification math.FA
keywords exponentialintegrabilityvariabledomainsestimatesorderpotentialrespect
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

We study weak-type estimates and exponential integrability for the variable order Riesz potential. As an application we prove an exponential integrability result with respect to the Hausdorff content for functions from variable exponent Sobolev spaces. In particular, the earlier exponential integrability results are improved to a corresponding one with respect to the Choque integral whenever John domains are considered. Moreover, new exponential integrability results also for domains with outward cusps are obtained.

Discussion (0). Continue with ORCID to comment.

Pith tools