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arXiv.org e-Print Archive
Preprint . 2017
Data sources: arXiv.org e-Print Archive
https://dx.doi.org/10.48550/ar...
Article . 2017
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Fractional integrals and Fourier transforms

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2017Embargo end date: 01 Jan 2017Publisher:arXiv
Authors: Kolyada, Viktor;

doi: 10.48550/arxiv.1709.07195

arXiv: http://arxiv.org/abs/1709.07195

Fractional integrals and Fourier transforms

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.

42 pages

Keywords

Mathematics - Classical Analysis and ODEs, 46E35, 42B05 (Primary), 42B10, 46E30 (Secondary), Classical Analysis and ODEs (math.CA), FOS: Mathematics

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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