Weighted integrability of \(p\)-adic Fourier transform

DOI10.1134/S2070046620030036zbMath1456.30081OpenAlexW3042733850MaRDI QIDQ2220942

Sergey S. Volosivets, Boris I. Golubov

Publication date: 25 January 2021

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s2070046620030036

zbMATH Keywords

Fourier transform\(p\)-adic linear space

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Non-Archimedean function theory (30G06)

Related Items (1)

Weighted integrability of multiple multiplicative Fourier transforms

Cites Work

• Hausdorff operators on \(p\)-adic linear spaces and their properties in Hardy, \(BMO\), and Hölder spaces
• Sufficient conditions for the Lebesgue integrability of Fourier transforms
• Fourier transform of Dini-Lipschitz functions on the field of \(p\)-adic numbers
• Generalized \(p\)-adic Fourier transform and estimates of integral modulus of continuity in terms of this transform
• Fourier Analysis on Local Fields. (MN-15)
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