Transformées de Riesz pour p>2

Thierry Coulhon; Xuan Thinh Duong

doi:10.1016/S0764-4442(01)01981-4

Transformées de Riesz pour p>2

Translated title of the contribution: Riesz transforms for p>2

Thierry Coulhon
, Xuan Thinh Duong

Research output: Contribution to journal › Article › peer-review

Abstract

We show that, on a complete non-compact Riemannian manifold, the Riesz tranforms are bounded on L^p for p>2 if suitable estimates for the heat kernel on 1-forms hold true.

Translated title of the contribution	Riesz transforms for p>2
Original language	French
Pages (from-to)	975-980
Number of pages	6
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	332
Issue number	11
DOIs	https://doi.org/10.1016/S0764-4442(01)01981-4
Publication status	Published - 1 Jun 2001
Externally published	Yes

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title = "Transform{\'e}es de Riesz pour p>2",

abstract = "We show that, on a complete non-compact Riemannian manifold, the Riesz tranforms are bounded on Lp for p>2 if suitable estimates for the heat kernel on 1-forms hold true.",

author = "Thierry Coulhon and Duong, \{Xuan Thinh\}",

year = "2001",

month = jun,

day = "1",

doi = "10.1016/S0764-4442(01)01981-4",

language = "Fran{\c c}ais",

volume = "332",

pages = "975--980",

journal = "Comptes Rendus de l'Academie des Sciences - Series I: Mathematics",

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AU - Duong, Xuan Thinh

PY - 2001/6/1

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N2 - We show that, on a complete non-compact Riemannian manifold, the Riesz tranforms are bounded on Lp for p>2 if suitable estimates for the heat kernel on 1-forms hold true.

AB - We show that, on a complete non-compact Riemannian manifold, the Riesz tranforms are bounded on Lp for p>2 if suitable estimates for the heat kernel on 1-forms hold true.

U2 - 10.1016/S0764-4442(01)01981-4

DO - 10.1016/S0764-4442(01)01981-4

M3 - Article

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SN - 0764-4442

VL - 332

SP - 975

EP - 980

JO - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

JF - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

IS - 11

ER -

Transformées de Riesz pour p>2

Abstract

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