FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2988378713> ?p ?o ?g. }

• W2988378713 endingPage "1816" @default.
• W2988378713 startingPage "1777" @default.
• W2988378713 abstract "Though there has been extensive study on Hardy-Sobolev-Maz'ya inequalities on upper half spaces for first order derivatives, whether an analogous inequality for higher order derivatives holds has still remained open. By using, among other things, the Fourier analysis techniques on the hyperbolic space which is a noncompact complete Riemannian manifold, we establish the Hardy-Sobolev-Maz'ya inequalities for higher order derivatives on half spaces. Moreover, we derive sharp Poincar'e-Sobolev inequalities (namely, Sobolev inequalities with a substraction of a Hardy term) for the Paneitz operators on hyperbolic spaces which are of their independent interests and useful in establishing the sharp Hardy-Sobolev-Maz'ya inequalities. Our sharp Poincar'e-Sobolev inequalities for the Paneitz operators on hyperbolic spaces improve substantially those Sobolev inequalities in the literature. The proof of such Poincar'e-Sobolev inequalities relies on hard analysis of Green's functions estimates, Fourier analysis on hyperbolic spaces together with the Hardy-Littlewood-Sobolev inequality on the hyperbolic spaces. Finally, we show the sharp constant in the Hardy-Sobolev-Maz'ya inequality for the bi-Laplacian in the upper half space of dimension five coincides with the best Sobolev constant. This is an analogous result to that of the sharp constant in the first order Hardy-Sobolev-Maz'ya inequality in the three dimensional upper half spaces." @default.
• W2988378713 created "2019-11-22" @default.
• W2988378713 creator A5040342402 @default.
• W2988378713 creator A5047098401 @default.
• W2988378713 date "2019-01-01" @default.
• W2988378713 modified "2023-10-02" @default.
• W2988378713 title "Paneitz operators on hyperbolic spaces and high order Hardy-Sobolev-Maz'ya inequalities on half spaces" @default.
• W2988378713 cites W1497899172 @default.
• W2988378713 cites W1508718704 @default.
• W2988378713 cites W1527329021 @default.
• W2988378713 cites W1577682781 @default.
• W2988378713 cites W1883336173 @default.
• W2988378713 cites W1938984303 @default.
• W2988378713 cites W1967100651 @default.
• W2988378713 cites W1977225278 @default.
• W2988378713 cites W1977648633 @default.
• W2988378713 cites W1979793360 @default.
• W2988378713 cites W1991504952 @default.
• W2988378713 cites W1997717877 @default.
• W2988378713 cites W1999441752 @default.
• W2988378713 cites W1999871292 @default.
• W2988378713 cites W2002843363 @default.
• W2988378713 cites W2004233041 @default.
• W2988378713 cites W2010279606 @default.
• W2988378713 cites W2025591358 @default.
• W2988378713 cites W2038928461 @default.
• W2988378713 cites W2071623338 @default.
• W2988378713 cites W2078317863 @default.
• W2988378713 cites W2086678574 @default.
• W2988378713 cites W2092524174 @default.
• W2988378713 cites W2093236827 @default.
• W2988378713 cites W2108377884 @default.
• W2988378713 cites W2109253881 @default.
• W2988378713 cites W2115628191 @default.
• W2988378713 cites W2143855626 @default.
• W2988378713 cites W2147467385 @default.
• W2988378713 cites W2148675098 @default.
• W2988378713 cites W2315739251 @default.
• W2988378713 cites W2326134154 @default.
• W2988378713 cites W2483518167 @default.
• W2988378713 cites W2510038279 @default.
• W2988378713 cites W2607650249 @default.
• W2988378713 cites W2807254072 @default.
• W2988378713 cites W2962812744 @default.
• W2988378713 cites W2963107485 @default.
• W2988378713 cites W2963541806 @default.
• W2988378713 cites W2963700904 @default.
• W2988378713 cites W2964318533 @default.
• W2988378713 cites W2982653582 @default.
• W2988378713 cites W569923101 @default.
• W2988378713 cites W652018297 @default.
• W2988378713 cites W811003184 @default.
• W2988378713 doi "https://doi.org/10.1353/ajm.2019.0047" @default.
• W2988378713 hasPublicationYear "2019" @default.
• W2988378713 type Work @default.
• W2988378713 sameAs 2988378713 @default.
• W2988378713 citedByCount "39" @default.
• W2988378713 countsByYear W29883787132019 @default.
• W2988378713 countsByYear W29883787132020 @default.
• W2988378713 countsByYear W29883787132021 @default.
• W2988378713 countsByYear W29883787132022 @default.
• W2988378713 countsByYear W29883787132023 @default.
• W2988378713 crossrefType "journal-article" @default.
• W2988378713 hasAuthorship W2988378713A5040342402 @default.
• W2988378713 hasAuthorship W2988378713A5047098401 @default.
• W2988378713 hasConcept C10138342 @default.
• W2988378713 hasConcept C104317684 @default.
• W2988378713 hasConcept C134306372 @default.
• W2988378713 hasConcept C162324750 @default.
• W2988378713 hasConcept C164506360 @default.
• W2988378713 hasConcept C169976997 @default.
• W2988378713 hasConcept C182306322 @default.
• W2988378713 hasConcept C185592680 @default.
• W2988378713 hasConcept C185644265 @default.
• W2988378713 hasConcept C202444582 @default.
• W2988378713 hasConcept C33923547 @default.
• W2988378713 hasConcept C42178598 @default.
• W2988378713 hasConcept C45555294 @default.
• W2988378713 hasConcept C55112680 @default.
• W2988378713 hasConcept C55493867 @default.
• W2988378713 hasConcept C6183050 @default.
• W2988378713 hasConcept C83677898 @default.
• W2988378713 hasConcept C99730327 @default.
• W2988378713 hasConceptScore W2988378713C10138342 @default.
• W2988378713 hasConceptScore W2988378713C104317684 @default.
• W2988378713 hasConceptScore W2988378713C134306372 @default.
• W2988378713 hasConceptScore W2988378713C162324750 @default.
• W2988378713 hasConceptScore W2988378713C164506360 @default.
• W2988378713 hasConceptScore W2988378713C169976997 @default.
• W2988378713 hasConceptScore W2988378713C182306322 @default.
• W2988378713 hasConceptScore W2988378713C185592680 @default.
• W2988378713 hasConceptScore W2988378713C185644265 @default.
• W2988378713 hasConceptScore W2988378713C202444582 @default.
• W2988378713 hasConceptScore W2988378713C33923547 @default.
• W2988378713 hasConceptScore W2988378713C42178598 @default.
• W2988378713 hasConceptScore W2988378713C45555294 @default.
• W2988378713 hasConceptScore W2988378713C55112680 @default.
• W2988378713 hasConceptScore W2988378713C55493867 @default.

• next