Boundedness of singular integral operators on the Heisenberg group in weighted generalized Hölder spaces
Yazarlar (1)
Prof. Dr. Vagıf GULIYEV
Baku, Azerbaycan
| Makale Türü | Özgün Makale (SCOPUS dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Analysis Mathematica | ||
| Dergi ISSN | 0133-3852 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 12-1995 |
| Cilt / Sayı / Sayfa | 21 / 4 / 245–268 | DOI | 10.1007/BF01909149 |
| Özet |
| In the paper we study singular integral operators A on the Heisenberg group {Mathematical expression}, which have an essentially different character in comparison with operators of Calderon-Zygmund type (in particular, they have a distinctive anisotropy). The action of these operators is studied in spaces of functions satisfying certain generalized Holder conditions and certain growth requirements. Estimates are obtained that connect the characteristic of the original function u with those of the transformed function v=Au. Subspaces invariant under the action of A are singled out. © 1995 Akadémiai Kiadó. |
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