Abstract
Morrey type space built on rearrangement-invariant Banach function space where the set of smooth functions with compact support is a dense set of this space is introduced in this paper. By using the denseness of the set of smooth functions with compact support, we obtain the oscillation and variation inequalities of Riesz transforms on this Morrey type space. Copyright © 2019 The Royal Academy of Sciences, Madrid.
| Original language | English |
|---|---|
| Pages (from-to) | 2999-3014 |
| Journal | Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas |
| Volume | 113 |
| Issue number | 4 |
| Early online date | 12 Apr 2019 |
| DOIs | |
| Publication status | Published - Oct 2019 |
Citation
Ho, K.-P. (2019). Approximation in vanishing rearrangement-invariant Morrey spaces and applications. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 113(4), 2999-3014. doi: 10.1007/s13398-019-00668-7Keywords
- Approximation
- Morrey spaces
- Rearrangement-invariant
- Oscillation and variation inequalities
- Sublinear operator
- Extrapolation