Abstract
Abstract: In this paper we study the properties of the Lebesgue constant of the conjugate transforms. For conjugate Fejér means we will find necessary and sufficient condition on t for which the estimation (Formula presented.) holds. We also prove that for dyadic irrational t, L log L is the maximal Orlicz space for which the estimation (Formula presented.). is valid.
| Original language | English |
|---|---|
| Pages (from-to) | 9-22 |
| Number of pages | 14 |
| Journal | Journal of Contemporary Mathematical Analysis |
| Volume | 56 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Jan 2021 |
Keywords
- conjugate Walsh transform
- convergence in norm
- Martingale transform
ASJC Scopus subject areas
- Analysis
- Control and Optimization
- Applied Mathematics
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