$γ$-Valued Stein--Tomas Restriction for Schatten Classes

Let $Σ\subset\mathbb R^3$ be a compact $C^2$ hypersurface with nonvanishing Gaussian curvature. We prove the sharp matrix-dimension-independent Schatten-valued Stein--Tomas range \[ R_Σ:L^p(\mathbb R^3;S^a)\longrightarrowγ(L^2(Σ),S^a), \qquad 1

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-10-29
DOI
https://doi.org/10.48550/arxiv.2610.40044
Primary Topic
Advanced Harmonic Analysis Research
Type
preprint
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preprint

$γ$-Valued Stein--Tomas Restriction for Schatten Classes

R. Shahmurov, V. Shahmurov
arXiv (Cornell University)
Advanced Harmonic Analysis Research
preprint

$γ$-Valued Stein--Tomas Restriction for Schatten Classes

R. Shahmurov, V. Shahmurov
preprint en

Abstract

Let $Σ\subset\mathbb R^3$ be a compact $C^2$ hypersurface with nonvanishing Gaussian curvature. We prove the sharp matrix-dimension-independent Schatten-valued Stein--Tomas range \[ R_Σ:L^p(\mathbb R^3;S^a)\longrightarrowγ(L^2(Σ),S^a), \qquad 1

arXiv (Cornell University)
Advanced Harmonic Analysis Research
DOIOpen Access PDFOpenAlex
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$γ$-Valued Stein--Tomas Restriction for Schatten Classes — R. Shahmurov, V. Shahmurov · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS