Matches in SemOpenAlex for { <https://semopenalex.org/work/W2149752419> ?p ?o ?g. }
Showing items 1 to 71 of
71
with 100 items per page.
- W2149752419 endingPage "389" @default.
- W2149752419 startingPage "375" @default.
- W2149752419 abstract "For a measurable function f on the unit ball B in ℂ n we define ( M 1 f )( w ), | w |<1, to be the mean modulus of f over a hyperbolic ball with center at w and of a fixed radius. The space , 0< p <∞, is defined by the requirement that M 1 f belongs to the Lebesgue space L p . It is shown that the subspace of L p spanned by holomorphic functions coincides with the corresponding subspace of . It is proved that if s >( n +1)( p −1 −1), 0< p <1, then this subspace is complemented in by the projection whose reproducing kernel is . As corollaries we get an extension of the Forelli–Rudin projection theorem and we show that a holomorphic function f is L p -integrable, 0< p <∞, over the unit ball B iff u = Ref is L p -integrable over B . Finally, we sketch an alternative proof of the main result of this paper in the case 0< p <1." @default.
- W2149752419 created "2016-06-24" @default.
- W2149752419 creator A5027926575 @default.
- W2149752419 creator A5036322295 @default.
- W2149752419 date "1993-10-01" @default.
- W2149752419 modified "2023-10-14" @default.
- W2149752419 title "An extension of the Forelli–Rudin projection theorem" @default.
- W2149752419 cites W1986312995 @default.
- W2149752419 cites W2086510139 @default.
- W2149752419 cites W2103184945 @default.
- W2149752419 cites W2147527907 @default.
- W2149752419 cites W4244022977 @default.
- W2149752419 doi "https://doi.org/10.1017/s0013091500018484" @default.
- W2149752419 hasPublicationYear "1993" @default.
- W2149752419 type Work @default.
- W2149752419 sameAs 2149752419 @default.
- W2149752419 citedByCount "8" @default.
- W2149752419 countsByYear W21497524192013 @default.
- W2149752419 countsByYear W21497524192014 @default.
- W2149752419 countsByYear W21497524192019 @default.
- W2149752419 countsByYear W21497524192022 @default.
- W2149752419 countsByYear W21497524192023 @default.
- W2149752419 crossrefType "journal-article" @default.
- W2149752419 hasAuthorship W2149752419A5027926575 @default.
- W2149752419 hasAuthorship W2149752419A5036322295 @default.
- W2149752419 hasBestOaLocation W21497524191 @default.
- W2149752419 hasConcept C11413529 @default.
- W2149752419 hasConcept C114614502 @default.
- W2149752419 hasConcept C122041747 @default.
- W2149752419 hasConcept C134306372 @default.
- W2149752419 hasConcept C191948623 @default.
- W2149752419 hasConcept C202444582 @default.
- W2149752419 hasConcept C204575570 @default.
- W2149752419 hasConcept C32834561 @default.
- W2149752419 hasConcept C33923547 @default.
- W2149752419 hasConcept C42178598 @default.
- W2149752419 hasConcept C57493831 @default.
- W2149752419 hasConcept C75413324 @default.
- W2149752419 hasConceptScore W2149752419C11413529 @default.
- W2149752419 hasConceptScore W2149752419C114614502 @default.
- W2149752419 hasConceptScore W2149752419C122041747 @default.
- W2149752419 hasConceptScore W2149752419C134306372 @default.
- W2149752419 hasConceptScore W2149752419C191948623 @default.
- W2149752419 hasConceptScore W2149752419C202444582 @default.
- W2149752419 hasConceptScore W2149752419C204575570 @default.
- W2149752419 hasConceptScore W2149752419C32834561 @default.
- W2149752419 hasConceptScore W2149752419C33923547 @default.
- W2149752419 hasConceptScore W2149752419C42178598 @default.
- W2149752419 hasConceptScore W2149752419C57493831 @default.
- W2149752419 hasConceptScore W2149752419C75413324 @default.
- W2149752419 hasIssue "3" @default.
- W2149752419 hasLocation W21497524191 @default.
- W2149752419 hasOpenAccess W2149752419 @default.
- W2149752419 hasPrimaryLocation W21497524191 @default.
- W2149752419 hasRelatedWork W1496034559 @default.
- W2149752419 hasRelatedWork W1990495751 @default.
- W2149752419 hasRelatedWork W2030004097 @default.
- W2149752419 hasRelatedWork W2037505749 @default.
- W2149752419 hasRelatedWork W2330623638 @default.
- W2149752419 hasRelatedWork W2364239225 @default.
- W2149752419 hasRelatedWork W2382145529 @default.
- W2149752419 hasRelatedWork W2472744539 @default.
- W2149752419 hasRelatedWork W2527340285 @default.
- W2149752419 hasRelatedWork W4294652535 @default.
- W2149752419 hasVolume "36" @default.
- W2149752419 isParatext "false" @default.
- W2149752419 isRetracted "false" @default.
- W2149752419 magId "2149752419" @default.
- W2149752419 workType "article" @default.