A note on singular integral operators with non doubling measures

Let \mu be a Radon measure on \rd which satisfies \mu(B(x,\,r))\leq Cr^{n} for any x\in \rd and r>0 and some fixed positive constants C and n with 0<n\leq d. In this paper, the relationship between the L^p(\mu) boundedness and certain weak type endpoint estimates are considered for the singula...

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Bibliographic Details
Published inHiroshima mathematical journal Vol. 40; no. 1; pp. 65 - 74
Main Author Jiao, Yulan
Format Journal Article
LanguageEnglish
Published Hiroshima University, Department of Mathematics 01.03.2010
Subjects
42B20
interpolation theorem
non doubling measures
RBMO
singular integral operators
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Summary:Let \mu be a Radon measure on \rd which satisfies \mu(B(x,\,r))\leq Cr^{n} for any x\in \rd and r>0 and some fixed positive constants C and n with 0<n\leq d. In this paper, the relationship between the L^p(\mu) boundedness and certain weak type endpoint estimates are considered for the singular integral operators.
ISSN:0018-2079
DOI:10.32917/hmj/1270645083