Logarithmic L^p bounds for maximal directional singular integrals in the plane

Details Logarithmic L^p bounds for maximal directional singular integrals in the plane Logarithmic L^p bounds for maximal directional singular integrals in the plane

2012-03-29

arxiv.org/abs/1203.6624v1

Mathematics

Classical Analysis and ODEs

35 pages

Scientific paper

We discuss the L^p-boundedness of maximal singular integrals in the plane over a finite set V of N directions. Logarithmic bounds are established for a set V of arbitrary structure in the 2<=p

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