6533b826fe1ef96bd1284733

RESEARCH PRODUCT

The variation of the maximal function of a radial function

Hannes Luiro

subject

Mathematics::Functional Analysis42B25 46E35 26A45maximal functionGeneral Mathematicsta111010102 general mathematicsMathematics::Classical Analysis and ODEsradial functionharmoninen analyysi01 natural sciences010101 applied mathematicsCombinatoricsRadial functionMathematics - Classical Analysis and ODEsClassical Analysis and ODEs (math.CA)FOS: Mathematics46E35Maximal operatorMaximal function0101 mathematicsfunktionaalianalyysi42B25Variation (astronomy)26A45Mathematics

description

We study the problem concerning the variation of the Hardy-Littlewood maximal function in higher dimensions. As the main result, we prove that the variation of the non-centered Hardy-Littlewood maximal function of a radial function is comparable to the variation of the function itself.

yearjournalcountryeditionlanguage
2017-02-02Arkiv för Matematik
https://doi.org/10.4310/arkiv.2018.v56.n1.a9