FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W4353092261> ?p ?o ?g. }

• W4353092261 endingPage "5855" @default.
• W4353092261 startingPage "5809" @default.
• W4353092261 abstract "For <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=2 less-than-or-equal-to p greater-than 4> <mml:semantics> <mml:mrow> <mml:mn>2</mml:mn> <mml:mo>≤<!-- ≤ --></mml:mo> <mml:mi>p</mml:mi> <mml:mo>></mml:mo> <mml:mn>4</mml:mn> </mml:mrow> <mml:annotation encoding=application/x-tex>2leq p>4</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, we study the <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper L Superscript p> <mml:semantics> <mml:msup> <mml:mi>L</mml:mi> <mml:mi>p</mml:mi> </mml:msup> <mml:annotation encoding=application/x-tex>L^p</mml:annotation> </mml:semantics> </mml:math> </inline-formula> norms of restrictions of eigenfunctions of the Laplace-Beltrami operator on smooth compact <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=2> <mml:semantics> <mml:mn>2</mml:mn> <mml:annotation encoding=application/x-tex>2</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-dimensional Riemannian manifolds. Burq, Gérard, and Tzvetkov [Duke Math. J. 138 (2007), pp. 445–486], and Hu [Forum Math. 21 (2009), pp. 1021–1052] found the eigenfunction estimates restricted to a curve with nonvanishing geodesic curvatures. We will explain how the proof of the known estimates helps us to consider the case where the given smooth compact Riemannian manifold has nonpositive sectional curvatures. For <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=p equals 4> <mml:semantics> <mml:mrow> <mml:mi>p</mml:mi> <mml:mo>=</mml:mo> <mml:mn>4</mml:mn> </mml:mrow> <mml:annotation encoding=application/x-tex>p=4</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, we will also obtain a logarithmic analogous estimate, by using arguments in Xi and Zhang [Comm. Math. Phys. 350 (2017), pp. 1299–1325], Sogge [Math. Res. Lett. 24 (2017), pp. 549–570], and Bourgain [Geom. Funct. Anal. 1 (1991), pp. 147–187]." @default.
• W4353092261 created "2023-03-23" @default.
• W4353092261 creator A5058156861 @default.
• W4353092261 date "2023-05-23" @default.
• W4353092261 modified "2023-10-15" @default.
• W4353092261 title "Eigenfunction restriction estimates for curves with nonvanishing geodesic curvatures in compact Riemannian surfaces with nonpositive curvature" @default.
• W4353092261 cites W1531371725 @default.
• W4353092261 cites W1982040957 @default.
• W4353092261 cites W2007770194 @default.
• W4353092261 cites W2009516996 @default.
• W4353092261 cites W2016197947 @default.
• W4353092261 cites W2023098069 @default.
• W4353092261 cites W2028478844 @default.
• W4353092261 cites W2028972200 @default.
• W4353092261 cites W2054656705 @default.
• W4353092261 cites W2079686181 @default.
• W4353092261 cites W2094251564 @default.
• W4353092261 cites W2107660352 @default.
• W4353092261 cites W2110933932 @default.
• W4353092261 cites W2136528345 @default.
• W4353092261 cites W2766893658 @default.
• W4353092261 cites W2768750168 @default.
• W4353092261 cites W2797315706 @default.
• W4353092261 cites W2963005518 @default.
• W4353092261 cites W2963220144 @default.
• W4353092261 cites W2963286232 @default.
• W4353092261 cites W2963480684 @default.
• W4353092261 cites W2963585552 @default.
• W4353092261 cites W2963630759 @default.
• W4353092261 cites W2963950996 @default.
• W4353092261 cites W2964186802 @default.
• W4353092261 cites W2964311965 @default.
• W4353092261 cites W3099667105 @default.
• W4353092261 cites W3099812192 @default.
• W4353092261 cites W4210519891 @default.
• W4353092261 cites W4231706539 @default.
• W4353092261 cites W4238924299 @default.
• W4353092261 cites W4242473853 @default.
• W4353092261 cites W623944003 @default.
• W4353092261 doi "https://doi.org/10.1090/tran/8948" @default.
• W4353092261 hasPublicationYear "2023" @default.
• W4353092261 type Work @default.
• W4353092261 citedByCount "1" @default.
• W4353092261 crossrefType "journal-article" @default.
• W4353092261 hasAuthorship W4353092261A5058156861 @default.
• W4353092261 hasConcept C11413529 @default.
• W4353092261 hasConcept C127313418 @default.
• W4353092261 hasConcept C151730666 @default.
• W4353092261 hasConcept C154945302 @default.
• W4353092261 hasConcept C165818556 @default.
• W4353092261 hasConcept C2524010 @default.
• W4353092261 hasConcept C2777299769 @default.
• W4353092261 hasConcept C33923547 @default.
• W4353092261 hasConcept C41008148 @default.
• W4353092261 hasConceptScore W4353092261C11413529 @default.
• W4353092261 hasConceptScore W4353092261C127313418 @default.
• W4353092261 hasConceptScore W4353092261C151730666 @default.
• W4353092261 hasConceptScore W4353092261C154945302 @default.
• W4353092261 hasConceptScore W4353092261C165818556 @default.
• W4353092261 hasConceptScore W4353092261C2524010 @default.
• W4353092261 hasConceptScore W4353092261C2777299769 @default.
• W4353092261 hasConceptScore W4353092261C33923547 @default.
• W4353092261 hasConceptScore W4353092261C41008148 @default.
• W4353092261 hasFunder F4320306076 @default.
• W4353092261 hasIssue "8" @default.
• W4353092261 hasLocation W43530922611 @default.
• W4353092261 hasOpenAccess W4353092261 @default.
• W4353092261 hasPrimaryLocation W43530922611 @default.
• W4353092261 hasRelatedWork W1974584795 @default.
• W4353092261 hasRelatedWork W2045715842 @default.
• W4353092261 hasRelatedWork W2071383071 @default.
• W4353092261 hasRelatedWork W2078299291 @default.
• W4353092261 hasRelatedWork W2349865494 @default.
• W4353092261 hasRelatedWork W2372553222 @default.
• W4353092261 hasRelatedWork W2925832130 @default.
• W4353092261 hasRelatedWork W2998142867 @default.
• W4353092261 hasRelatedWork W3111121251 @default.
• W4353092261 hasRelatedWork W3157620392 @default.
• W4353092261 hasVolume "376" @default.
• W4353092261 isParatext "false" @default.
• W4353092261 isRetracted "false" @default.
• W4353092261 workType "article" @default.