Matches in SemOpenAlex for { <https://semopenalex.org/work/W3188202213> ?p ?o ?g. }
- W3188202213 abstract "Let $g:mathbb R^d to mathbb R$ be a radial function. In dimensions $d in {3,4,5,6,7}$, we prove that the constant functions on the unit sphere $mathbb S^{d-1} subset mathbb R^{d}$ maximize the weighted adjoint Fourier restriction inequality $$ left| int_{mathbb R^d} |widehat{fsigma}(x)|^4 (1 + g(x) ) , dxright|^{1/4} leq {bf C} |,f|_{L^2(mathbb S^{d-1})},$$ where $sigma$ is the standard surface measure on $mathbb S^{d-1}$, provided that the perturbation $g$ is sufficiently regular and small, in a proper and effective sense described in the paper. In these cases, we also fully classify the complex-valued maximizers of the inequality. In the unperturbed setting ($g = {bf 0}$), this was established by Foschi $(d=3)$ and by the first and third authors $(d in {4,5,6,7})$ in 2015." @default.
- W3188202213 created "2021-08-16" @default.
- W3188202213 creator A5031470234 @default.
- W3188202213 creator A5044443410 @default.
- W3188202213 creator A5058118854 @default.
- W3188202213 date "2021-08-07" @default.
- W3188202213 modified "2023-09-23" @default.
- W3188202213 title "Stability of sharp Fourier restriction to spheres" @default.
- W3188202213 cites W1584610719 @default.
- W3188202213 cites W1967362769 @default.
- W3188202213 cites W1972038344 @default.
- W3188202213 cites W2007282282 @default.
- W3188202213 cites W2019183979 @default.
- W3188202213 cites W2074462303 @default.
- W3188202213 cites W2079159646 @default.
- W3188202213 cites W2089751520 @default.
- W3188202213 cites W2094654291 @default.
- W3188202213 cites W2120062331 @default.
- W3188202213 cites W2135543411 @default.
- W3188202213 cites W2162791775 @default.
- W3188202213 cites W2765965402 @default.
- W3188202213 cites W2962825627 @default.
- W3188202213 cites W2962906873 @default.
- W3188202213 cites W2963060111 @default.
- W3188202213 cites W2963153474 @default.
- W3188202213 cites W2963203126 @default.
- W3188202213 cites W2963482131 @default.
- W3188202213 cites W2963619673 @default.
- W3188202213 cites W2963653472 @default.
- W3188202213 cites W2963710662 @default.
- W3188202213 cites W2963736178 @default.
- W3188202213 cites W2963832180 @default.
- W3188202213 cites W2963951784 @default.
- W3188202213 cites W2964009076 @default.
- W3188202213 cites W2964135802 @default.
- W3188202213 cites W2964221177 @default.
- W3188202213 cites W3003681002 @default.
- W3188202213 cites W3013858094 @default.
- W3188202213 cites W3038165843 @default.
- W3188202213 cites W3095872757 @default.
- W3188202213 cites W3099208186 @default.
- W3188202213 cites W3099409965 @default.
- W3188202213 cites W3099643441 @default.
- W3188202213 cites W3100232042 @default.
- W3188202213 cites W3100619367 @default.
- W3188202213 hasPublicationYear "2021" @default.
- W3188202213 type Work @default.
- W3188202213 sameAs 3188202213 @default.
- W3188202213 citedByCount "1" @default.
- W3188202213 countsByYear W31882022132021 @default.
- W3188202213 crossrefType "posted-content" @default.
- W3188202213 hasAuthorship W3188202213A5031470234 @default.
- W3188202213 hasAuthorship W3188202213A5044443410 @default.
- W3188202213 hasAuthorship W3188202213A5058118854 @default.
- W3188202213 hasConcept C102519508 @default.
- W3188202213 hasConcept C114614502 @default.
- W3188202213 hasConcept C121332964 @default.
- W3188202213 hasConcept C122637931 @default.
- W3188202213 hasConcept C1276947 @default.
- W3188202213 hasConcept C134306372 @default.
- W3188202213 hasConcept C14036430 @default.
- W3188202213 hasConcept C145420912 @default.
- W3188202213 hasConcept C191948623 @default.
- W3188202213 hasConcept C2778049214 @default.
- W3188202213 hasConcept C2780009758 @default.
- W3188202213 hasConcept C33676613 @default.
- W3188202213 hasConcept C33923547 @default.
- W3188202213 hasConcept C41008148 @default.
- W3188202213 hasConcept C62520636 @default.
- W3188202213 hasConcept C72422203 @default.
- W3188202213 hasConcept C77088390 @default.
- W3188202213 hasConcept C78458016 @default.
- W3188202213 hasConcept C86803240 @default.
- W3188202213 hasConceptScore W3188202213C102519508 @default.
- W3188202213 hasConceptScore W3188202213C114614502 @default.
- W3188202213 hasConceptScore W3188202213C121332964 @default.
- W3188202213 hasConceptScore W3188202213C122637931 @default.
- W3188202213 hasConceptScore W3188202213C1276947 @default.
- W3188202213 hasConceptScore W3188202213C134306372 @default.
- W3188202213 hasConceptScore W3188202213C14036430 @default.
- W3188202213 hasConceptScore W3188202213C145420912 @default.
- W3188202213 hasConceptScore W3188202213C191948623 @default.
- W3188202213 hasConceptScore W3188202213C2778049214 @default.
- W3188202213 hasConceptScore W3188202213C2780009758 @default.
- W3188202213 hasConceptScore W3188202213C33676613 @default.
- W3188202213 hasConceptScore W3188202213C33923547 @default.
- W3188202213 hasConceptScore W3188202213C41008148 @default.
- W3188202213 hasConceptScore W3188202213C62520636 @default.
- W3188202213 hasConceptScore W3188202213C72422203 @default.
- W3188202213 hasConceptScore W3188202213C77088390 @default.
- W3188202213 hasConceptScore W3188202213C78458016 @default.
- W3188202213 hasConceptScore W3188202213C86803240 @default.
- W3188202213 hasLocation W31882022131 @default.
- W3188202213 hasOpenAccess W3188202213 @default.
- W3188202213 hasPrimaryLocation W31882022131 @default.
- W3188202213 hasRelatedWork W1523054719 @default.
- W3188202213 hasRelatedWork W1614871229 @default.
- W3188202213 hasRelatedWork W1857138819 @default.
- W3188202213 hasRelatedWork W2000039350 @default.
- W3188202213 hasRelatedWork W203044123 @default.