Singular integral operators on tent spaces

Pascal Auscher; Christoph Kriegler; Sylvie Monniaux; Pierre Portal

doi:10.1007/s00028-012-0152-4

Singular integral operators on tent spaces

Pascal Auscher^*, Christoph Kriegler, Sylvie Monniaux, Pierre Portal

^*Corresponding author for this work

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

25 Citations (Scopus)

Abstract

We extend the recent results concerning boundedness of the maximal regularity operator on tent spaces. This leads us to develop a singular integral operator theory on tent spaces. Such operators have operator-valued kernels. A seemingly appropriate condition on the kernel is time-space decay measured by off-diagonal estimates with various exponents.

Original language	English
Pages (from-to)	741-765
Number of pages	25
Journal	Journal of Evolution Equations
Volume	12
Issue number	4
DOIs	https://doi.org/10.1007/s00028-012-0152-4
Publication status	Published - Dec 2012

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title = "Singular integral operators on tent spaces",

abstract = "We extend the recent results concerning boundedness of the maximal regularity operator on tent spaces. This leads us to develop a singular integral operator theory on tent spaces. Such operators have operator-valued kernels. A seemingly appropriate condition on the kernel is time-space decay measured by off-diagonal estimates with various exponents.",

keywords = "Maximal regularity, Off-diagonal estimates, Singular integral operators, Tent spaces",

author = "Pascal Auscher and Christoph Kriegler and Sylvie Monniaux and Pierre Portal",

year = "2012",

month = dec,

doi = "10.1007/s00028-012-0152-4",

language = "English",

volume = "12",

pages = "741--765",

journal = "Journal of Evolution Equations",

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TY - JOUR

T1 - Singular integral operators on tent spaces

AU - Auscher, Pascal

AU - Kriegler, Christoph

AU - Monniaux, Sylvie

AU - Portal, Pierre

PY - 2012/12

Y1 - 2012/12

N2 - We extend the recent results concerning boundedness of the maximal regularity operator on tent spaces. This leads us to develop a singular integral operator theory on tent spaces. Such operators have operator-valued kernels. A seemingly appropriate condition on the kernel is time-space decay measured by off-diagonal estimates with various exponents.

AB - We extend the recent results concerning boundedness of the maximal regularity operator on tent spaces. This leads us to develop a singular integral operator theory on tent spaces. Such operators have operator-valued kernels. A seemingly appropriate condition on the kernel is time-space decay measured by off-diagonal estimates with various exponents.

KW - Maximal regularity

KW - Off-diagonal estimates

KW - Singular integral operators

KW - Tent spaces

UR - https://www.scopus.com/pages/publications/84874221002

U2 - 10.1007/s00028-012-0152-4

DO - 10.1007/s00028-012-0152-4

M3 - Article

SN - 1424-3199

VL - 12

SP - 741

EP - 765

JO - Journal of Evolution Equations

JF - Journal of Evolution Equations

IS - 4

ER -

Singular integral operators on tent spaces

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