English

Fractional integrals and Fourier transforms

Classical Analysis and ODEs 2017-09-22 v1

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 \cite{K1998} and \cite{K2007}. 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.

Keywords

Cite

@article{arxiv.1709.07195,
  title  = {Fractional integrals and Fourier transforms},
  author = {Viktor Kolyada},
  journal= {arXiv preprint arXiv:1709.07195},
  year   = {2017}
}

Comments

42 pages

R2 v1 2026-06-22T21:50:18.285Z