Matches in SemOpenAlex for { <https://semopenalex.org/work/W4300097514> ?p ?o ?g. }
Showing items 1 to 58 of
58
with 100 items per page.
- W4300097514 abstract "Given a finite set sigma of the unit disc mathbb{D}={zinmathbb{C}:,,| z|<1} and a holomorphic function f in mathbb{D} which belongs to a class X, we are looking for a function g in another class Y (smaller than X) which minimizes the norm ||g||_{Y} among all functions g such that g_{|sigma}=f_{|sigma}. For Y=H^{infty}, and for the corresponding interpolation constant c(sigma,, X,, H^{infty}), we show that c(sigma,, X,, H^{infty})leq aphi_{X}(1-frac{1-r}{n}) where n=#sigma, r=max_{lambdainsigma}|lambda| and where phi_{X}(t) stands for the norm of the evaluation functional fmapsto f(lambda) on the space X. The upper bound is sharp over sets sigma with given n and r." @default.
- W4300097514 created "2022-10-03" @default.
- W4300097514 creator A5016748336 @default.
- W4300097514 date "2009-04-05" @default.
- W4300097514 modified "2023-09-24" @default.
- W4300097514 title "Interpolation avec contraintes sur des ensembles finis du disque" @default.
- W4300097514 doi "https://doi.org/10.48550/arxiv.0904.0775" @default.
- W4300097514 hasPublicationYear "2009" @default.
- W4300097514 type Work @default.
- W4300097514 citedByCount "0" @default.
- W4300097514 crossrefType "posted-content" @default.
- W4300097514 hasAuthorship W4300097514A5016748336 @default.
- W4300097514 hasBestOaLocation W43000975141 @default.
- W4300097514 hasConcept C114614502 @default.
- W4300097514 hasConcept C121332964 @default.
- W4300097514 hasConcept C134306372 @default.
- W4300097514 hasConcept C17744445 @default.
- W4300097514 hasConcept C191795146 @default.
- W4300097514 hasConcept C199539241 @default.
- W4300097514 hasConcept C204575570 @default.
- W4300097514 hasConcept C2778049214 @default.
- W4300097514 hasConcept C2778113609 @default.
- W4300097514 hasConcept C33923547 @default.
- W4300097514 hasConcept C62520636 @default.
- W4300097514 hasConceptScore W4300097514C114614502 @default.
- W4300097514 hasConceptScore W4300097514C121332964 @default.
- W4300097514 hasConceptScore W4300097514C134306372 @default.
- W4300097514 hasConceptScore W4300097514C17744445 @default.
- W4300097514 hasConceptScore W4300097514C191795146 @default.
- W4300097514 hasConceptScore W4300097514C199539241 @default.
- W4300097514 hasConceptScore W4300097514C204575570 @default.
- W4300097514 hasConceptScore W4300097514C2778049214 @default.
- W4300097514 hasConceptScore W4300097514C2778113609 @default.
- W4300097514 hasConceptScore W4300097514C33923547 @default.
- W4300097514 hasConceptScore W4300097514C62520636 @default.
- W4300097514 hasLocation W43000975141 @default.
- W4300097514 hasLocation W43000975142 @default.
- W4300097514 hasLocation W43000975143 @default.
- W4300097514 hasLocation W43000975144 @default.
- W4300097514 hasLocation W43000975145 @default.
- W4300097514 hasLocation W43000975146 @default.
- W4300097514 hasLocation W43000975147 @default.
- W4300097514 hasLocation W43000975148 @default.
- W4300097514 hasOpenAccess W4300097514 @default.
- W4300097514 hasPrimaryLocation W43000975141 @default.
- W4300097514 hasRelatedWork W1556698674 @default.
- W4300097514 hasRelatedWork W2057145714 @default.
- W4300097514 hasRelatedWork W2058591591 @default.
- W4300097514 hasRelatedWork W2061090826 @default.
- W4300097514 hasRelatedWork W2334230563 @default.
- W4300097514 hasRelatedWork W2485727175 @default.
- W4300097514 hasRelatedWork W2597526809 @default.
- W4300097514 hasRelatedWork W3100791588 @default.
- W4300097514 hasRelatedWork W3190243092 @default.
- W4300097514 hasRelatedWork W2467037348 @default.
- W4300097514 isParatext "false" @default.
- W4300097514 isRetracted "false" @default.
- W4300097514 workType "article" @default.