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NECESSARY AND SUFFICIENT CONDITIONS FOR THE BOUNDEDNESS OF GENUINE SINGULAR INTEGRAL OPERATORS IN LOCAL MORREY-TYPE SPACES   
Yazarlar (4)
V. I. Burenkov
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi
A. Serbetci
T. V. Tararykova
Devamını Göster
Özet
The problem of the boundedness of a Calderon-Zygmund singular integral operator T in local Torrey-type spaces is reduced to the boundedness of the Hardy operator in weighted L-p-spaces on the cone of non-negative non-increasing functions. This allows obtaining sufficient conditions for the boundedness of T in local Torrey-type spaces for all admissible values of the parameters. Moreover, for a certain range of the parameters, for a genuine Calderon-Zygmund singular integral operator these sufficient conditions coincide with the necessary ones.
Anahtar Kelimeler
singular integral operator | maximal operator | local Torrey-type spaces | Hardy operator on the cone of monotonic functions | weak Torrey-type spaces | weighted estimates
Makale Türü Özgün Makale
Makale Alt Türü ESCI dergilerinde yayımlanan tam makale
Dergi Adı EURASIAN MATHEMATICAL JOURNAL
Dergi ISSN 2077-9879 Wos Dergi Scopus Dergi
Makale Dili İngilizce
Basım Tarihi 01-2010
Cilt No 1
Sayı 1
Sayfalar 32 / 53
Atıf Sayıları
WoS 34
Google Scholar 98

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