FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2078005243> ?p ?o ?g. }

• W2078005243 abstract "We give examples of bounded inverses of polynomials in R, n > 1, which are not Fourier multipliers of Z/(R) for any p ¥=2. Our main tool is the Kakeya set construction of C. Fefferman. Using these results, we relate the invertibility on Lp of a linear second order constant coefficient differential opera- tor D on R to the geometric structure of quadratic surfaces associated to its symbol d. This work was motivated by multiplier conjectures of N. Riviere and R. Strichartz. 0. Introduction. Let D be a linear constant coefficient differential operator on R, with symbol d. We assume throughout this paper that D has order at most two, and we shall examine the Lp spectrum and invertibility of D. (See §1 for the precise definitions we use.) Our main tool in this analysis will be the Kakeya set construc- tion of Charles Fefferman, through which we shall relate invertibility of D to the geometric structure of quadratic surfaces associated to d. If D is elliptic and d has no real zeroes, D is Lp invertible for allp, 1 <p < oo. As we examine less trivial cases, great complexity seems to arise. The operator" @default.
• W2078005243 created "2016-06-24" @default.
• W2078005243 creator A5033751815 @default.
• W2078005243 creator A5039612257 @default.
• W2078005243 date "1980-02-01" @default.
• W2078005243 modified "2023-09-24" @default.
• W2078005243 title "$Lsp{p}$ behavior of certain second order partial differential operators" @default.
• W2078005243 cites W1445293040 @default.
• W2078005243 cites W1537237996 @default.
• W2078005243 cites W1559907478 @default.
• W2078005243 cites W2000160348 @default.
• W2078005243 cites W2015668743 @default.
• W2078005243 cites W2028886887 @default.
• W2078005243 cites W2043247298 @default.
• W2078005243 cites W2060833327 @default.
• W2078005243 cites W2065723160 @default.
• W2078005243 cites W2066574230 @default.
• W2078005243 cites W2074496321 @default.
• W2078005243 cites W2327509254 @default.
• W2078005243 cites W2333624702 @default.
• W2078005243 cites W817447733 @default.
• W2078005243 cites W935469873 @default.
• W2078005243 doi "https://doi.org/10.1090/s0002-9947-1980-0586732-5" @default.
• W2078005243 hasPublicationYear "1980" @default.
• W2078005243 type Work @default.
• W2078005243 sameAs 2078005243 @default.
• W2078005243 citedByCount "3" @default.
• W2078005243 countsByYear W20780052432012 @default.
• W2078005243 crossrefType "journal-article" @default.
• W2078005243 hasAuthorship W2078005243A5033751815 @default.
• W2078005243 hasAuthorship W2078005243A5039612257 @default.
• W2078005243 hasBestOaLocation W20780052431 @default.
• W2078005243 hasConcept C10138342 @default.
• W2078005243 hasConcept C104317684 @default.
• W2078005243 hasConcept C110342517 @default.
• W2078005243 hasConcept C114614502 @default.
• W2078005243 hasConcept C118615104 @default.
• W2078005243 hasConcept C124584101 @default.
• W2078005243 hasConcept C129844170 @default.
• W2078005243 hasConcept C134306372 @default.
• W2078005243 hasConcept C139719470 @default.
• W2078005243 hasConcept C158448853 @default.
• W2078005243 hasConcept C162324750 @default.
• W2078005243 hasConcept C17020691 @default.
• W2078005243 hasConcept C182306322 @default.
• W2078005243 hasConcept C185592680 @default.
• W2078005243 hasConcept C199360897 @default.
• W2078005243 hasConcept C202444582 @default.
• W2078005243 hasConcept C2524010 @default.
• W2078005243 hasConcept C2777027219 @default.
• W2078005243 hasConcept C33923547 @default.
• W2078005243 hasConcept C34388435 @default.
• W2078005243 hasConcept C41008148 @default.
• W2078005243 hasConcept C55493867 @default.
• W2078005243 hasConcept C70915906 @default.
• W2078005243 hasConcept C86339819 @default.
• W2078005243 hasConcept C96442724 @default.
• W2078005243 hasConceptScore W2078005243C10138342 @default.
• W2078005243 hasConceptScore W2078005243C104317684 @default.
• W2078005243 hasConceptScore W2078005243C110342517 @default.
• W2078005243 hasConceptScore W2078005243C114614502 @default.
• W2078005243 hasConceptScore W2078005243C118615104 @default.
• W2078005243 hasConceptScore W2078005243C124584101 @default.
• W2078005243 hasConceptScore W2078005243C129844170 @default.
• W2078005243 hasConceptScore W2078005243C134306372 @default.
• W2078005243 hasConceptScore W2078005243C139719470 @default.
• W2078005243 hasConceptScore W2078005243C158448853 @default.
• W2078005243 hasConceptScore W2078005243C162324750 @default.
• W2078005243 hasConceptScore W2078005243C17020691 @default.
• W2078005243 hasConceptScore W2078005243C182306322 @default.
• W2078005243 hasConceptScore W2078005243C185592680 @default.
• W2078005243 hasConceptScore W2078005243C199360897 @default.
• W2078005243 hasConceptScore W2078005243C202444582 @default.
• W2078005243 hasConceptScore W2078005243C2524010 @default.
• W2078005243 hasConceptScore W2078005243C2777027219 @default.
• W2078005243 hasConceptScore W2078005243C33923547 @default.
• W2078005243 hasConceptScore W2078005243C34388435 @default.
• W2078005243 hasConceptScore W2078005243C41008148 @default.
• W2078005243 hasConceptScore W2078005243C55493867 @default.
• W2078005243 hasConceptScore W2078005243C70915906 @default.
• W2078005243 hasConceptScore W2078005243C86339819 @default.
• W2078005243 hasConceptScore W2078005243C96442724 @default.
• W2078005243 hasLocation W20780052431 @default.
• W2078005243 hasOpenAccess W2078005243 @default.
• W2078005243 hasPrimaryLocation W20780052431 @default.
• W2078005243 hasRelatedWork W1488877410 @default.
• W2078005243 hasRelatedWork W1570690345 @default.
• W2078005243 hasRelatedWork W1989544568 @default.
• W2078005243 hasRelatedWork W1991821479 @default.
• W2078005243 hasRelatedWork W2020777563 @default.
• W2078005243 hasRelatedWork W2053168208 @default.
• W2078005243 hasRelatedWork W2184400729 @default.
• W2078005243 hasRelatedWork W2260450307 @default.
• W2078005243 hasRelatedWork W2317075850 @default.
• W2078005243 hasRelatedWork W2325075584 @default.
• W2078005243 hasRelatedWork W2335225651 @default.
• W2078005243 hasRelatedWork W2510244744 @default.
• W2078005243 hasRelatedWork W2765323633 @default.
• W2078005243 hasRelatedWork W2900548950 @default.
• W2078005243 hasRelatedWork W2907712524 @default.

• next