Applications of some block spaces to singular integrals

Shanzhen Lu

Front. Math. China ›› 2007, Vol. 2 ›› Issue (1) : 61 -72.

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Front. Math. China ›› 2007, Vol. 2 ›› Issue (1) : 61 -72. DOI: 10.1007/s11464-007-0004-7
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Applications of some block spaces to singular integrals

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Abstract

This paper is a survey on the theory and application of some block spaces on the unit sphere introduced by Jiang and the author of this paper in the study of singular integrals and some related operators with rough kernels.

Keywords

block / block spaces / unit sphere / Calderón-Zygmund singular integrals / oscillatory singular integrals / higher order commutators / rough kernel / Marcinkiewicz integral

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Shanzhen Lu. Applications of some block spaces to singular integrals. Front. Math. China, 2007, 2(1): 61-72 DOI:10.1007/s11464-007-0004-7

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