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Continuité sur les espaces de tentes par extrapolation
- Source :
- Mathematische Zeitschrift, Mathematische Zeitschrift, Springer, 2017, 286 (3-4), pp.1575-1604
- Publication Year :
- 2017
- Publisher :
- HAL CCSD, 2017.
-
Abstract
- International audience; We study the action of operators on tent spaces such as maximal operators, Calderón-Zygmund operators, Riesz potentials. We also consider singular non-integral operators. We obtain boundedness as an application of extrapolation methods in the Banach range. In the non Banach range, boundedness results for Calderón-Zygmund operators follows by using an appropriate atomic theory. We end with some consequences on amalgalm spaces.
- Subjects :
- tent spaces
Mathematics::Functional Analysis
atoms
42B20,42B25,42B35,47B34
Mathematics::Classical Analysis and ODEs
extrapolation
singular integrals
[MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA]
[MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA]
amalgalm spaces
maximal operators
Subjects
Details
- Language :
- English
- ISSN :
- 00255874 and 14321823
- Database :
- OpenAIRE
- Journal :
- Mathematische Zeitschrift, Mathematische Zeitschrift, Springer, 2017, 286 (3-4), pp.1575-1604
- Accession number :
- edsair.dedup.wf.001..c98af250d9c2ae85a928dd6a0e6536dd