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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
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 yayınlanan 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 36
Google Scholar 98

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