The Hardy–Morrey spaces with variable exponents are introduced in terms of maximal functions. The atomic decomposition of Hardy–Morrey spaces with variable exponents is established. This decomposition extends and unifies several atomic decompositions of Hardy type spaces such as the Hardy–Morrey spaces and the Hardy spaces with variable exponents. Some applications of this atomic decomposition on singular integral are presented. Copyright © 2015 by Academia Scientiarum Fennica.
|Journal||Annales Academiae Scientiarum Fennicae Mathematica|
|Publication status||Published - 2015|
CitationHo, K.-P. (2015). Atomic decomposition of hardy-morrey spaces with variable exponents. Annales Academiae Scientiarum Fennicae Mathematica, 40(1), 31-62.
- Morrey spaces
- Hardy spaces
- Maximal functions
- Variable exponent analysis
- Atomic decomposition
- Vector-valued maximal inequalities