Abstract
We introduce and explore Hardy spaces defined by mixed Lebesgue norms and anisotropic dilations. We prove that the definitions of these spaces in terms of smooth, non-tangential, auxiliary, grand, and Poisson maximal operators coincide. We also study the relation between anisotropic mixed-norm Hardy spaces and mixed-norm Lebesgue spaces.
| Original language | English |
|---|---|
| Journal | Journal of Geometric Analysis |
| Volume | 27 |
| Issue number | 4 |
| Pages (from-to) | 2758-2787 |
| Number of pages | 30 |
| ISSN | 1050-6926 |
| DOIs | |
| Publication status | Published - 2017 |
Keywords
- anisotrophic
- mixed-norms
- distributions
- Hardy spaces
- maximal opertors
- Lebesgue spaces
- Poisson kernel