p-adic BMO and VMO functions

Abstract


Spaces of p-adic BMO and VMO functions are considered. It is proved that locally constant functions are dense in VMO space under BMO norm.

About the authors

Eugemiy I Zelenov

Steklov Mathematical Institute, Russian Academy of Sciences

Email: evgeny.zelenov@gmail.com
Steklov Mathematical Institute, Russian Academy of Sciences

References

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  2. Rim K. S., Lee J. Estimates of weighted Hardy-Littlewood averages on the p-adic vector space // J. Math. Anal. Appl., 2006. Т. 324, № 2. С. 1470-1477.
  3. Volosivets S. S. Multidimensional Hausdorff operator on p-adic field // p-Adic Numbers, Ultrametric Anal. Appl., 2010. Т. 2, № 3. С. 252-259.

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