p-adic BMO and VMO functions

Authors: Zelenov E.I¹
Affiliations:
1. Steklov Mathematical Institute, Russian Academy of Sciences
Issue: Vol 15, No 1 (2011)
Pages: 90-92
Section: Articles
URL: https://journals.eco-vector.com/1991-8615/article/view/21088
ID: 21088

Cite item

Full Text

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.

p-adic analysis, BMO functions, VMO functions

Steklov Mathematical Institute, Russian Academy of Sciences

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

Sarason D. Function theory on the unit circle: Notes for lectures at a conference at Virginia Polytechnic Institute and State University. Blacksburg, Virginia.: Virginia Polytechnic Institute and State University, 1978. 144 с.
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.
Volosivets S. S. Multidimensional Hausdorff operator on p-adic field // p-Adic Numbers, Ultrametric Anal. Appl., 2010. Т. 2, № 3. С. 252-259.

Supplementary Files

Action

1. JATS XML