Matches in SemOpenAlex for { <https://semopenalex.org/work/W2313598932> ?p ?o ?g. }
Showing items 1 to 73 of
73
with 100 items per page.
- W2313598932 endingPage "113" @default.
- W2313598932 startingPage "113" @default.
- W2313598932 abstract "The purpose of this paper (some of whose conclusions were announced in [NRSW]) is to study the Bergman and Szegd projection operators on pseudoconvex domains Q of finite type in C2. The results we obtain are of three kinds: (i) The size estimates of the Bergman and Szeg6 kernels, and their derivatives. (ii) The cancellation properties of those kernels, expressed in terms of the actions of these operators on suitable bump functions; these properties have an interest in their own right but are also crucial in (iii) below. (iii) The sharp mapping properties of these operators on functions spaces, such as LP, the nonisotropic Sobolev spaces, and the nonisotropic Lipschitz spaces, which are naturally attached to the geometry of the boundary. This also leads ultimately to sharp results in the regularity properties of solutions of the equation du = f in Q, and 9bU = f on the boundary. Let us describe these matters in more detail. Our starting points are certain basic geometric constructs associated to Q: a metric p defined in terms of the vector fields X1 and X2 which are the real and imaginary parts of the (tangential) Levi vector field on d 2; and a function A(p, 8), (a polynomial in 8 for p E d 2), which represents the higher Levi-invariant attached to d 9 . The significance of these to the geometry of d Q can be understood from the following facts: the ball B(p, 8) C d Q (centered at p, of radius 8 in the metric p) when viewed in the appropriate coordinates has width - 8 in the complex tangential directions, but its width is - A(p, 8) in the complementary direction. Thus the volume of the ball is - 82A(p, 8). Among other crucial properties" @default.
- W2313598932 created "2016-06-24" @default.
- W2313598932 creator A5010284257 @default.
- W2313598932 creator A5026863573 @default.
- W2313598932 creator A5058095313 @default.
- W2313598932 creator A5072043672 @default.
- W2313598932 date "1989-01-01" @default.
- W2313598932 modified "2023-10-13" @default.
- W2313598932 title "Estimates for the Bergman and Szego Kernels in C 2" @default.
- W2313598932 cites W1567336650 @default.
- W2313598932 cites W1968014615 @default.
- W2313598932 cites W1976284538 @default.
- W2313598932 cites W1996251005 @default.
- W2313598932 cites W2003992805 @default.
- W2313598932 cites W2014706182 @default.
- W2313598932 cites W2018085528 @default.
- W2313598932 cites W2019212463 @default.
- W2313598932 cites W2030921258 @default.
- W2313598932 cites W2039114667 @default.
- W2313598932 cites W2059029256 @default.
- W2313598932 cites W2074947192 @default.
- W2313598932 cites W2332533383 @default.
- W2313598932 cites W2484500325 @default.
- W2313598932 cites W51900113 @default.
- W2313598932 doi "https://doi.org/10.2307/1971487" @default.
- W2313598932 hasPublicationYear "1989" @default.
- W2313598932 type Work @default.
- W2313598932 sameAs 2313598932 @default.
- W2313598932 citedByCount "197" @default.
- W2313598932 countsByYear W23135989322012 @default.
- W2313598932 countsByYear W23135989322013 @default.
- W2313598932 countsByYear W23135989322014 @default.
- W2313598932 countsByYear W23135989322015 @default.
- W2313598932 countsByYear W23135989322016 @default.
- W2313598932 countsByYear W23135989322017 @default.
- W2313598932 countsByYear W23135989322018 @default.
- W2313598932 countsByYear W23135989322019 @default.
- W2313598932 countsByYear W23135989322020 @default.
- W2313598932 countsByYear W23135989322021 @default.
- W2313598932 countsByYear W23135989322022 @default.
- W2313598932 countsByYear W23135989322023 @default.
- W2313598932 crossrefType "journal-article" @default.
- W2313598932 hasAuthorship W2313598932A5010284257 @default.
- W2313598932 hasAuthorship W2313598932A5026863573 @default.
- W2313598932 hasAuthorship W2313598932A5058095313 @default.
- W2313598932 hasAuthorship W2313598932A5072043672 @default.
- W2313598932 hasConcept C17139452 @default.
- W2313598932 hasConcept C202444582 @default.
- W2313598932 hasConcept C33923547 @default.
- W2313598932 hasConceptScore W2313598932C17139452 @default.
- W2313598932 hasConceptScore W2313598932C202444582 @default.
- W2313598932 hasConceptScore W2313598932C33923547 @default.
- W2313598932 hasIssue "1" @default.
- W2313598932 hasLocation W23135989321 @default.
- W2313598932 hasOpenAccess W2313598932 @default.
- W2313598932 hasPrimaryLocation W23135989321 @default.
- W2313598932 hasRelatedWork W2034020279 @default.
- W2313598932 hasRelatedWork W2052406596 @default.
- W2313598932 hasRelatedWork W2061435329 @default.
- W2313598932 hasRelatedWork W2072565047 @default.
- W2313598932 hasRelatedWork W2332533383 @default.
- W2313598932 hasRelatedWork W2384190967 @default.
- W2313598932 hasRelatedWork W2963026734 @default.
- W2313598932 hasRelatedWork W2963479678 @default.
- W2313598932 hasRelatedWork W3105519292 @default.
- W2313598932 hasRelatedWork W4317399707 @default.
- W2313598932 hasVolume "129" @default.
- W2313598932 isParatext "false" @default.
- W2313598932 isRetracted "false" @default.
- W2313598932 magId "2313598932" @default.
- W2313598932 workType "article" @default.