Geodesic
Modified Hardy and Hardy--Littlewood operators and their behaviour in various spaces
Izvestiya. Mathematics , Tome 75 (2011) no. 1, pp. 29-51

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We study the behaviour of modified Hardy and Hardy–Littlewood operators in $\mathbf P$-adic Herz and Hölder–Besov spaces and in spaces close to $\mathbf P$-adic Hardy spaces and $\mathrm{BMO}$. We also establish a Titchmarsh-type equation for distributions and obtain an estimate for the multiplicative Fourier transform in $\mathbf P$-adic Hardy spaces.
Keywords: modified Hardy–Littlewood operator, modified Hardy operator, $\mathbf P$-adic Hölder–Besov spaces, $\mathbf P$-adic Hardy spaces
Mots-clés : $\mathbf P$-adic $\mathrm{BMO}$-space. 
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     author = {S. S. Volosivets},
     title = {Modified {Hardy} and {Hardy--Littlewood} operators and their behaviour in various spaces},
     journal = {Izvestiya. Mathematics },
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     number = {1},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2011_75_1_a1/}
}
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S. S. Volosivets. Modified Hardy and Hardy--Littlewood operators and their behaviour in various spaces. Izvestiya. Mathematics , Tome 75 (2011) no. 1, pp. 29-51. http://geodesic.mathdoc.fr/item/IM2_2011_75_1_a1/