Boundedness of classical operators on rearrangement-invariant spaces

31 Oct 2019 Edmunds David E. Mihula Zdeněk Musil Vít Pick Luboš

We study the behaviour on rearrangement-invariant spaces of such classical operators of interest in harmonic analysis as the Hardy-Littlewood maximal operator (including the fractional version), the Hilbert and Stieltjes transforms, and the Riesz potential. The focus is on sharpness questions, and we present characterisations of the optimal domain (or range) partner spaces when the range (domain) is fixed... (read more)

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