A Sobolev estimate for the adjoint restriction operator

Yonggeun Cho; Zihua Guo; Sanghyuk Lee

doi:10.1007/s00208-014-1130-7

A Sobolev estimate for the adjoint restriction operator

Yonggeun Cho, Zihua Guo, Sanghyuk Lee

Research output: Contribution to journal › Article › Research › peer-review

3 Citations (Scopus)

Abstract

In this note we consider the adjoint restriction estimate for hypersurface under additional regularity assumption. We obtain the optimal (Formula Presented.) estimates and their mixed norm generalizations. As applications we prove some weighted Strichartz estimates for the propagator (Formula Presented.).

Original language	English
Pages (from-to)	799 - 815
Number of pages	17
Journal	Mathematische Annalen
Volume	362
Issue number	3-4
DOIs	https://doi.org/10.1007/s00208-014-1130-7
Publication status	Published - 2015
Externally published	Yes

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Cite this

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title = "A Sobolev estimate for the adjoint restriction operator",

abstract = "In this note we consider the adjoint restriction estimate for hypersurface under additional regularity assumption. We obtain the optimal (Formula Presented.) estimates and their mixed norm generalizations. As applications we prove some weighted Strichartz estimates for the propagator (Formula Presented.).",

author = "Yonggeun Cho and Zihua Guo and Sanghyuk Lee",

year = "2015",

doi = "10.1007/s00208-014-1130-7",

language = "English",

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pages = "799 -- 815",

journal = "Mathematische Annalen",

issn = "0025-5831",

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T1 - A Sobolev estimate for the adjoint restriction operator

AU - Cho, Yonggeun

AU - Guo, Zihua

AU - Lee, Sanghyuk

PY - 2015

Y1 - 2015

N2 - In this note we consider the adjoint restriction estimate for hypersurface under additional regularity assumption. We obtain the optimal (Formula Presented.) estimates and their mixed norm generalizations. As applications we prove some weighted Strichartz estimates for the propagator (Formula Presented.).

AB - In this note we consider the adjoint restriction estimate for hypersurface under additional regularity assumption. We obtain the optimal (Formula Presented.) estimates and their mixed norm generalizations. As applications we prove some weighted Strichartz estimates for the propagator (Formula Presented.).

UR - http://link.springer.com/content/pdf/10.1007%2Fs00208-014-1130-7.pdf

U2 - 10.1007/s00208-014-1130-7

DO - 10.1007/s00208-014-1130-7

M3 - Article

VL - 362

SP - 799

EP - 815

JO - Mathematische Annalen

JF - Mathematische Annalen

SN - 0025-5831

IS - 3-4

ER -