Abstract
The aim of this paper is to characterize variable Lp spaces Lp(·)(Rn) using wavelets with proper smoothness and decay. We obtain conditions for the wavelet characterizations of Lp(·)(Rn) with respect to the norm estimates and modular inequalities.
| Original language | English |
|---|---|
| Pages (from-to) | 281-293 |
| Number of pages | 13 |
| Journal | Georgian Mathematical Journal |
| Volume | 15 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2008 |
| Externally published | Yes |
Keywords
- unconditional basis
- variable L space
- Wavelet
ASJC Scopus subject areas
- Mathematics(all)
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Izuki, M. (2008). Wavelets and modular inequalities in variable Lp spaces. Georgian Mathematical Journal, 15(2), 281-293. https://doi.org/10.1515/GMJ.2008.281