A proof of the weak (1,1) inequality for singular integrals with non doubling measures based on a Calderon-Zygmund decomposition

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dc.creatorTolsa, Xavier
dc.date2000-02-25
dc.date.accessioned2026-07-07T04:34:04Z
dc.date.available2026-07-07T04:34:04Z
dc.descriptionGiven a doubling measure $μ$ on $R^d$, it is a classical result of harmonic analysis that Calderon-Zygmund operators which are bounded in $L^2(μ)$ are also of weak type (1,1). Recently it has been shown that the same result holds if one substitutes the doubling condition on $μ$ by a mild growth condition on $μ$. In this paper another proof of this result is given. The proof is very close in spirit to the classical argument for doubling measures and it is based on a new Calderon-Zygmund decomposition adapted to the non doubling situation.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0002221
dc.identifierhttp://arxiv.org/abs/math/0002221
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58765
dc.subjectClassical Analysis and ODEs
dc.subjectFunctional Analysis
dc.subject42B20
dc.titleA proof of the weak (1,1) inequality for singular integrals with non doubling measures based on a Calderon-Zygmund decomposition
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