On Multilinear Singular Integrals of Calderón-zygmund Type
نویسندگان
چکیده
A variety of results regarding multilinear Calderón-Zygmund singular integral operators is systematically presented. Several tools and techniques for the study of such operators are discussed. These include new multilinear endpoint weak type estimates, multilinear interpolation, appropriate discrete decompositions, a multilinear version of Schur’s test, and a multilinear version of the T1 Theorem suitable for the study of multilinear pseudodifferential and translation invariant operators. A maximal operator associated with multilinear singular integrals is also introduced and employed to obtain weighted norm inequalities.
منابع مشابه
ACTA UNIVERSITATIS APULENSIS No 18/2009 SHARP FUNCTION ESTIMATE FOR MULTILINEAR COMMUTATOR OF SINGULAR INTEGRAL WITH VARIABLE CALDERÓN-ZYGMUND KERNEL
In this paper, we prove the sharp function inequality for the multilinear commutator related to the singular integral operator with variable Calderón-Zygmund kernel. By using the sharp inequality, we obtain the Lnorm inequality for the multilinear commutator. 2000 Mathematics Subject Classification: 42B20, 42B25.
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