Embedding theorems for Hölder classes defined on \(p\)-adic linear spaces

DOI10.1134/S2070046620010069zbMath1434.42037OpenAlexW3008488605MaRDI QIDQ2303906

Sergey S. Volosivets

Publication date: 6 March 2020

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

Full work available at URL: https://doi.org/10.1134/s2070046620010069

zbMATH Keywords

sharpness\(p\)-adic Hölder space\(p\)-adic Lebesgue spaceUl'yanov type embedding theorem

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items (2)

Step wavelets on Vilenkin groups ⋮ Ulyanov-type embedding theorems for functions on zero-dimensional locally compact groups

Cites Work

• Hausdorff operators on \(p\)-adic linear spaces and their properties in Hardy, \(BMO\), and Hölder spaces
• Some problems in the theory of approximation of functions on the group of \(p\)-adic numbers
• Some problems in the theory of approximation of functions on locally compact Vilenkin groups
• Fourier Analysis on Local Fields. (MN-15)
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