Fractional integrals and Fourier transforms

2017/09/21 by Kolyada, Viktor
#42B05 (Primary) #42B10 #46E30 (Secondary) #46E35 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1709.07195

Abstract

This paper gives a short survey of some basic results related to estimates of fractional integrals and Fourier transforms. It is closely adjoint to our previous survey papers \citeK1998 and \citeK2007. The main methods used in the paper are based on nonincreasing rearrangements. We give alternative proofs of some results. We observe also that the paper represents the mini-course given by the author at Barcelona University in October, 2014.

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