REVIEW 1 cited by
Dimension of divergence sets of oscillatory integrals with concave phase
Not yet reviewed by Pith; the record is open.
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
Signed reviews
abstract
We study the Hausdorff dimension of the sets on which the pointwise convergence of the solutions to the fractional Schr\"odinger equation $e^{it(-\Delta)^\frac m2}f$ fails when $m\in(0,1)$ in one spatial dimension. The pointwise convergence along a non-tangential curve and a set of lines are also considered, where we find different nature from the case when $m\in(1,\infty)$.
Forward citations
Cited by 1 Pith paper
-
Maximal estimates for orthonormal systems of wave equations with sharp regularity
In d=3, the maximal estimate (1.8) is proved for all s > max{s_d(q), s_d(2β)}, confirming the conjecture; sharp β-ranges are also obtained for d≥4 and d=2.
Discussion (0). Continue with ORCID to comment.