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Boundedness of singular integral operators on the Heisenberg group in weighted generalized Hölder spaces  
Yazarlar (1)
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye
Devamını Göster
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.
Anahtar Kelimeler
Makale Türü Özgün Makale
Makale Alt Türü SCOPUS dergilerinde yayımlanan tam makale
Dergi Adı Analysis Mathematica
Dergi ISSN 0133-3852
Makale Dili İngilizce
Basım Tarihi 12-1995
Cilt No 21
Sayı 4
Sayfalar 245 / 268
Doi Numarası 10.1007/BF01909149