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Prof. Dr. Vagıf GULIYEV
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| 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 |