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- Title
THE MOLECULAR DECOMPOSITION OF ANISOTROPIC MIXED-NORM HARDY SPACES AND THEIR APPLICATION.
- Authors
KANG HU; QINGDONG GUO
- Abstract
Let p ∈ (0, ∞)n, A be an expansive dilation on Rn, and HpA (Rn) be the anisotropic mixed-norm Hardy space defined via the non-tangential grand maximal function. In this paper, the authors establish its molecular decomposition. As an application, the authors obtain the boundedness of a class of singular integral operators from HpA (Rn) to HpA (Rn). These results are still new even in the classical isotropic setting (in the case A:= 2In×n).
- Subjects
HARDY spaces; ANISOTROPY; MAXIMAL functions; MATHEMATICAL singularities; INTEGRAL operators
- Publication
Journal of Mathematical Inequalities, 2023, Vol 17, Issue 1, p49
- ISSN
1846-579X
- Publication type
Article
- DOI
10.7153/jmi-2023-17-04