Boundedness of multidimensional Hausdorff operators on \(H^1({\mathbb R}^n)\). (English) Zbl 1199.47155
Summary: For a wide family of multivariate Hausdorff operators, a new condition for the boundedness of an operator from this family on the real Hardy space \(H^1(\mathbb R^n)\) is proved.
MSC:
| 47B38 | Linear operators on function spaces (general) |
| 42B35 | Function spaces arising in harmonic analysis |
| 47G10 | Integral operators |
