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Sharp endpoint estimates for some operators associated with the Laplacian with drift in Euclidean space.
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- Li, Hong-Quan (författare)
- Fudan University
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- Sjögren, Peter, 1948 (författare)
- Göteborgs universitet,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology
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(creator_code:org_t)
- 2021
- Engelska.
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Ingår i: Canadian Journal of Mathematics. - 1496-4279 .- 0008-414X. ; 73:5, s. 1278-1304
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Abstract
Ämnesord
Stäng
- Let $v \ne 0$ be a vector in $\R^n$. Consider the Laplacian on $\R^n$ with drift $\Delta_{v} = \Delta + 2v\cdot \nabla$ and the measure $d\mu(x) = e^{2 \langle v, x \rangle} dx$, with respect to which $\Delta_{v}$ is self-adjoint. %Let $d$ and $\nabla$ denote the Euclidean distance and the gradient operator on $\R^n$. Consider the space $(\R^n, d,d\mu)$, which has the property of exponential volume growth. This measure has exponential growth with respect to the Euclidean distance. We study weak type $(1, 1)$ and other sharp endpoint estimates for the Riesz transforms of any order, and also for the vertical and horizontal Littlewood-Paley-Stein functions associated with the heat and the Poisson semigroups.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- Riesz transform
- Heat semigroup
- Littlewood-Paley-Stein operators
- Laplacian with drift
Publikations- och innehållstyp
- art (ämneskategori)
- ref (ämneskategori)