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

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

5 Scopus citations

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
State	Published - 2015.11.28

Keywords

42B10
42B25

Quacquarelli Symonds(QS) Subject Topics

Mathematics

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10.1007/s00208-014-1130-7

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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.).",

keywords = "42B10, 42B25",

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

note = "Publisher Copyright: {\textcopyright} 2014, Springer-Verlag Berlin Heidelberg.",

year = "2015",

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day = "28",

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

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T1 - A Sobolev estimate for the adjoint restriction operator

AU - Cho, Yonggeun

AU - Guo, Zihua

AU - Lee, Sanghyuk

PY - 2015/11/28

Y1 - 2015/11/28

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.).

KW - 42B10

KW - 42B25

UR - https://www.scopus.com/pages/publications/84937522121

U2 - 10.1007/s00208-014-1130-7

DO - 10.1007/s00208-014-1130-7

M3 - Journal article

AN - SCOPUS:84937522121

SN - 0025-5831

VL - 362

SP - 799

EP - 815

JO - Mathematische Annalen

JF - Mathematische Annalen

IS - 3-4

ER -

A Sobolev estimate for the adjoint restriction operator

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

Access to Document

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