๐ฟ^{๐‘}-๐ฟ^{๐‘ž} resolvent restriction estimates for submanifolds

We consider restriction analogues on hypersurfaces of the uniform Sobolev inequalities in Kenig, Ruiz, and Sogge [Duke Math. J. 55 (1987), pp. 329โ€“347] and the resolvent estimates in Dos Santos Ferreira, Kenig, and Salo [Forum Math. 26 (2014), pp. 815โ€“849].

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Publication Details

Journal
Proceedings of the American Mathematical Society
Published
2026-01-14
DOI
https://doi.org/10.1090/proc/17612
Primary Topic
Advanced Harmonic Analysis Research
Type
article
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article

๐ฟ^{๐‘}-๐ฟ^{๐‘ž} resolvent restriction estimates for submanifolds

Chamsol Park, Matthew Blair
Proceedings of the American Mathematical Society
Advanced Harmonic Analysis Research
article

๐ฟ^{๐‘}-๐ฟ^{๐‘ž} resolvent restriction estimates for submanifolds

Chamsol Park, Matthew Blair
article en

Abstract

We consider restriction analogues on hypersurfaces of the uniform Sobolev inequalities in Kenig, Ruiz, and Sogge [Duke Math. J. 55 (1987), pp. 329โ€“347] and the resolvent estimates in Dos Santos Ferreira, Kenig, and Salo [Forum Math. 26 (2014), pp. 815โ€“849].

Proceedings of the American Mathematical Society
Reduced inequalities
Openalex Percentile: Top 87%
Advanced Harmonic Analysis Research
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๐ฟ^{๐‘}-๐ฟ^{๐‘ž} resolvent restriction estimates for submanifolds โ€” Chamsol Park, Matthew Blair ยท Proceedings of the American Mathematical Society (2026) | TGRS Research Map | TGRS