\(M_\alpha\)-Calderón-Zygmund operators. (English) Zbl 0902.42007
In the article \(M_\alpha\)-Calderón-Zygmund operators are introduced and their \(L^p_\omega\) and \(H^p_\omega\) boundedness are considered. The class of \(M_\alpha\)-Calderón-Zygmund operators includes those of strongly singular Calderón-Zygmund operators and generalized Calderón-Zygmund operators with \(\delta\) standard kernel and the obtained results improve and extend those on latter classes.
Reviewer: K.Georgiev (Rostov-na-Donu)
MSC:
42B20 | Singular and oscillatory integrals (Calderón-Zygmund, etc.) |
47B38 | Linear operators on function spaces (general) |