Matches in SemOpenAlex for { <https://semopenalex.org/work/W3010584842> ?p ?o ?g. }
Showing items 1 to 100 of
100
with 100 items per page.
- W3010584842 endingPage "109262" @default.
- W3010584842 startingPage "109262" @default.
- W3010584842 abstract "In this paper we establish several invariant boundary versions of the (infinitesimal) Schwarz-Pick lemma for conformal pseudometrics on the unit disk and for holomorphic selfmaps of strongly convex domains in CN in the spirit of the boundary Schwarz lemma of Burns–Krantz. Firstly, we focus on the case of the unit disk and prove a general boundary rigidity theorem for conformal pseudometrics with variable curvature. In its simplest cases this result already includes new types of boundary versions of the lemmas of Schwarz–Pick, Ahlfors–Schwarz and Nehari–Schwarz. The proof is based on a new Harnack–type inequality as well as a boundary Hopf lemma for conformal pseudometrics which extend earlier interior rigidity results of Golusin, Heins, Beardon, Minda and others. Secondly, we prove similar rigidity theorems for sequences of conformal pseudometrics, which even in the interior case appear to be new. For instance, a first sequential version of the strong form of Ahlfors' lemma is obtained. As an auxiliary tool we establish a Hurwitz–type result about preservation of zeros of sequences of conformal pseudometrics. Thirdly, we apply the one–dimensional sequential boundary rigidity results together with a variety of techniques from several complex variables to prove a boundary version of the Schwarz–Pick lemma for holomorphic maps of strongly convex domains in CN for N>1." @default.
- W3010584842 created "2020-03-13" @default.
- W3010584842 creator A5051122860 @default.
- W3010584842 creator A5059483157 @default.
- W3010584842 creator A5079352712 @default.
- W3010584842 date "2023-11-01" @default.
- W3010584842 modified "2023-10-14" @default.
- W3010584842 title "A new Schwarz-Pick lemma at the boundary and rigidity of holomorphic maps" @default.
- W3010584842 cites W1512648118 @default.
- W3010584842 cites W1536526898 @default.
- W3010584842 cites W1562948959 @default.
- W3010584842 cites W1829498141 @default.
- W3010584842 cites W1844633627 @default.
- W3010584842 cites W1968700164 @default.
- W3010584842 cites W1971946275 @default.
- W3010584842 cites W1981690009 @default.
- W3010584842 cites W1983066773 @default.
- W3010584842 cites W1986020688 @default.
- W3010584842 cites W1994811035 @default.
- W3010584842 cites W2000164127 @default.
- W3010584842 cites W2010836791 @default.
- W3010584842 cites W2033272573 @default.
- W3010584842 cites W2034945355 @default.
- W3010584842 cites W2039093232 @default.
- W3010584842 cites W2042379031 @default.
- W3010584842 cites W2049514684 @default.
- W3010584842 cites W2054346417 @default.
- W3010584842 cites W2085580000 @default.
- W3010584842 cites W2085747131 @default.
- W3010584842 cites W2121049271 @default.
- W3010584842 cites W2257216889 @default.
- W3010584842 cites W2396879930 @default.
- W3010584842 cites W2537156280 @default.
- W3010584842 cites W2888190955 @default.
- W3010584842 cites W2913274350 @default.
- W3010584842 cites W3099743105 @default.
- W3010584842 cites W3100154166 @default.
- W3010584842 cites W3160044394 @default.
- W3010584842 cites W4237592986 @default.
- W3010584842 cites W77434391 @default.
- W3010584842 doi "https://doi.org/10.1016/j.aim.2023.109262" @default.
- W3010584842 hasPublicationYear "2023" @default.
- W3010584842 type Work @default.
- W3010584842 sameAs 3010584842 @default.
- W3010584842 citedByCount "3" @default.
- W3010584842 countsByYear W30105848422020 @default.
- W3010584842 countsByYear W30105848422021 @default.
- W3010584842 crossrefType "journal-article" @default.
- W3010584842 hasAuthorship W3010584842A5051122860 @default.
- W3010584842 hasAuthorship W3010584842A5059483157 @default.
- W3010584842 hasAuthorship W3010584842A5079352712 @default.
- W3010584842 hasConcept C127413603 @default.
- W3010584842 hasConcept C134306372 @default.
- W3010584842 hasConcept C160343418 @default.
- W3010584842 hasConcept C18903297 @default.
- W3010584842 hasConcept C202444582 @default.
- W3010584842 hasConcept C204575570 @default.
- W3010584842 hasConcept C2777759810 @default.
- W3010584842 hasConcept C33923547 @default.
- W3010584842 hasConcept C46757340 @default.
- W3010584842 hasConcept C47177299 @default.
- W3010584842 hasConcept C62354387 @default.
- W3010584842 hasConcept C66938386 @default.
- W3010584842 hasConcept C86803240 @default.
- W3010584842 hasConcept C98214594 @default.
- W3010584842 hasConceptScore W3010584842C127413603 @default.
- W3010584842 hasConceptScore W3010584842C134306372 @default.
- W3010584842 hasConceptScore W3010584842C160343418 @default.
- W3010584842 hasConceptScore W3010584842C18903297 @default.
- W3010584842 hasConceptScore W3010584842C202444582 @default.
- W3010584842 hasConceptScore W3010584842C204575570 @default.
- W3010584842 hasConceptScore W3010584842C2777759810 @default.
- W3010584842 hasConceptScore W3010584842C33923547 @default.
- W3010584842 hasConceptScore W3010584842C46757340 @default.
- W3010584842 hasConceptScore W3010584842C47177299 @default.
- W3010584842 hasConceptScore W3010584842C62354387 @default.
- W3010584842 hasConceptScore W3010584842C66938386 @default.
- W3010584842 hasConceptScore W3010584842C86803240 @default.
- W3010584842 hasConceptScore W3010584842C98214594 @default.
- W3010584842 hasFunder F4320311030 @default.
- W3010584842 hasLocation W30105848421 @default.
- W3010584842 hasOpenAccess W3010584842 @default.
- W3010584842 hasPrimaryLocation W30105848421 @default.
- W3010584842 hasRelatedWork W2028320454 @default.
- W3010584842 hasRelatedWork W2049186872 @default.
- W3010584842 hasRelatedWork W2064495998 @default.
- W3010584842 hasRelatedWork W2246092933 @default.
- W3010584842 hasRelatedWork W2294873576 @default.
- W3010584842 hasRelatedWork W2341351063 @default.
- W3010584842 hasRelatedWork W2913230209 @default.
- W3010584842 hasRelatedWork W2952069940 @default.
- W3010584842 hasRelatedWork W3098189942 @default.
- W3010584842 hasRelatedWork W4214577336 @default.
- W3010584842 hasVolume "432" @default.
- W3010584842 isParatext "false" @default.
- W3010584842 isRetracted "false" @default.
- W3010584842 magId "3010584842" @default.
- W3010584842 workType "article" @default.