Abstract
Weisz proved-among others – that for f ∈ LlogL the Fejér means σ~n(t,m,u) of conjugate transform of two-parameter Walsh-Fourier series a. e. converges to f(t,u) . The main aim of this paper is to prove that for any Orlicz space, which is not a subspace of LlogL, the set of functions for which Walsh-Fejér Means of two parameter Conjugate Transforms converge in measure is of first Baire category.
| Original language | English |
|---|---|
| Pages (from-to) | 115-128 |
| Number of pages | 14 |
| Journal | Mathematical Inequalities and Applications |
| Volume | 24 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2021 |
Keywords
- Conjugate transform
- Convergence in measure
- Double Walsh-Fourier series
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics
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