Abstract
The main aim of this paper is to prove that the partial sums of double Vilenkin-Fourier series do not improve the convergence in measure. In other words, we prove that for any Orlicz space, which is not a subspace of Lln+ L, the set of functions whose quadratic partial sums of double Vilenkin-Fourier series converge in measure is of first Baire category.
| Original language | English |
|---|---|
| Pages (from-to) | 507-516 |
| Number of pages | 10 |
| Journal | Georgian Mathematical Journal |
| Volume | 16 |
| Issue number | 3 |
| Publication status | Published - 2009 |
| Externally published | Yes |
Keywords
- Convergence in measure
- Double Vilenkin-Fourier series
- Orlicz space
ASJC Scopus subject areas
- General Mathematics