Matches in SemOpenAlex for { <https://semopenalex.org/work/W3094240999> ?p ?o ?g. }
Showing items 1 to 97 of
97
with 100 items per page.
- W3094240999 endingPage "107464" @default.
- W3094240999 startingPage "107464" @default.
- W3094240999 abstract "Let M be a complete non-compact manifold satisfying the volume doubling condition, with doubling index N and reverse doubling index n, n≤N, both for large balls. Assume a Gaussian upper bound for the heat kernel, and an L2-Poincaré inequality outside a compact set. If 2<n, then we show that for p∈(2,n), (Rp): Lp-boundedness of the Riesz transform, (Gp): Lp-boundedness of the gradient of the heat semigroup, and (RHp): reverse Lp-Hölder inequality for the gradient of harmonic functions, are equivalent to each other. Our characterization implies that for p∈(2,n), (Rp) has an open ended property and is stable under gluing operations. This substantially extends the well known equivalence of (Rp) and (Gp) from [4] to more general settings, and is optimal in the sense that (Rp) does not hold for any p≥n>2 on manifolds having at least two Euclidean ends of dimension n. For p∈(max{N,2},∞), the fact that (Rp), (Gp) and (RHp) are equivalent essentially follows from [22]; moreover, if M is non-parabolic, then any of these conditions implies that M has only one end. For the proof, we develop a new criterion for boundedness of the Riesz transform, which was nontrivially adapted from [4], and make an essential application of results from [22]. Our result allows extensions to non-smooth settings." @default.
- W3094240999 created "2020-10-29" @default.
- W3094240999 creator A5048825158 @default.
- W3094240999 date "2021-01-01" @default.
- W3094240999 modified "2023-09-24" @default.
- W3094240999 title "Riesz transform via heat kernel and harmonic functions on non-compact manifolds" @default.
- W3094240999 cites W1518824415 @default.
- W3094240999 cites W1547518276 @default.
- W3094240999 cites W1568078059 @default.
- W3094240999 cites W1587030255 @default.
- W3094240999 cites W1617754463 @default.
- W3094240999 cites W1732032878 @default.
- W3094240999 cites W1854573896 @default.
- W3094240999 cites W1963652842 @default.
- W3094240999 cites W1970067922 @default.
- W3094240999 cites W1970224775 @default.
- W3094240999 cites W1974375331 @default.
- W3094240999 cites W1987206679 @default.
- W3094240999 cites W1995046266 @default.
- W3094240999 cites W2011830443 @default.
- W3094240999 cites W2023354347 @default.
- W3094240999 cites W2026718276 @default.
- W3094240999 cites W2028256405 @default.
- W3094240999 cites W2044422250 @default.
- W3094240999 cites W2048026906 @default.
- W3094240999 cites W2064374691 @default.
- W3094240999 cites W2074530224 @default.
- W3094240999 cites W2078000761 @default.
- W3094240999 cites W2083129101 @default.
- W3094240999 cites W2098474757 @default.
- W3094240999 cites W2120692600 @default.
- W3094240999 cites W2258458748 @default.
- W3094240999 cites W2333627913 @default.
- W3094240999 cites W2336912158 @default.
- W3094240999 cites W2496743404 @default.
- W3094240999 cites W2579088845 @default.
- W3094240999 cites W2582031834 @default.
- W3094240999 cites W2626301650 @default.
- W3094240999 cites W2962849423 @default.
- W3094240999 cites W2963214639 @default.
- W3094240999 cites W2963286638 @default.
- W3094240999 cites W2963661473 @default.
- W3094240999 cites W2963889610 @default.
- W3094240999 cites W2991083297 @default.
- W3094240999 cites W4300935444 @default.
- W3094240999 cites W866763507 @default.
- W3094240999 doi "https://doi.org/10.1016/j.aim.2020.107464" @default.
- W3094240999 hasPublicationYear "2021" @default.
- W3094240999 type Work @default.
- W3094240999 sameAs 3094240999 @default.
- W3094240999 citedByCount "1" @default.
- W3094240999 countsByYear W30942409992022 @default.
- W3094240999 crossrefType "journal-article" @default.
- W3094240999 hasAuthorship W3094240999A5048825158 @default.
- W3094240999 hasBestOaLocation W30942409992 @default.
- W3094240999 hasConcept C114614502 @default.
- W3094240999 hasConcept C134306372 @default.
- W3094240999 hasConcept C164506360 @default.
- W3094240999 hasConcept C183212220 @default.
- W3094240999 hasConcept C202444582 @default.
- W3094240999 hasConcept C207405024 @default.
- W3094240999 hasConcept C33923547 @default.
- W3094240999 hasConcept C34388435 @default.
- W3094240999 hasConcept C45555294 @default.
- W3094240999 hasConcept C627467 @default.
- W3094240999 hasConceptScore W3094240999C114614502 @default.
- W3094240999 hasConceptScore W3094240999C134306372 @default.
- W3094240999 hasConceptScore W3094240999C164506360 @default.
- W3094240999 hasConceptScore W3094240999C183212220 @default.
- W3094240999 hasConceptScore W3094240999C202444582 @default.
- W3094240999 hasConceptScore W3094240999C207405024 @default.
- W3094240999 hasConceptScore W3094240999C33923547 @default.
- W3094240999 hasConceptScore W3094240999C34388435 @default.
- W3094240999 hasConceptScore W3094240999C45555294 @default.
- W3094240999 hasConceptScore W3094240999C627467 @default.
- W3094240999 hasFunder F4320321001 @default.
- W3094240999 hasLocation W30942409991 @default.
- W3094240999 hasLocation W30942409992 @default.
- W3094240999 hasOpenAccess W3094240999 @default.
- W3094240999 hasPrimaryLocation W30942409991 @default.
- W3094240999 hasRelatedWork W2023661790 @default.
- W3094240999 hasRelatedWork W2131625422 @default.
- W3094240999 hasRelatedWork W2144093428 @default.
- W3094240999 hasRelatedWork W2564120157 @default.
- W3094240999 hasRelatedWork W2795887171 @default.
- W3094240999 hasRelatedWork W2981105045 @default.
- W3094240999 hasRelatedWork W2991083297 @default.
- W3094240999 hasRelatedWork W3094240999 @default.
- W3094240999 hasRelatedWork W3199852337 @default.
- W3094240999 hasRelatedWork W4287904406 @default.
- W3094240999 hasVolume "377" @default.
- W3094240999 isParatext "false" @default.
- W3094240999 isRetracted "false" @default.
- W3094240999 magId "3094240999" @default.
- W3094240999 workType "article" @default.