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.
Originalsprog | Engelsk |
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Tidsskrift | Journal of Geometric Analysis |
Vol/bind | 27 |
Udgave nummer | 4 |
Sider (fra-til) | 2758-2787 |
Antal sider | 30 |
ISSN | 1050-6926 |
DOI | |
Status | Udgivet - 2017 |