NECESSARY AND SUFFICIENT CONDITIONS FOR THE BOUNDEDNESS OF GENUINE SINGULAR INTEGRAL OPERATORS IN LOCAL MORREY-TYPE SPACES
Yazarlar (4)
L.N. Gumilyov Eurasian National University, Kazakistan
Prof. Dr. Vagıf GULIYEV
Azerbaijan National Academy of Sciences (ANAS), Azerbaycan
Ankara University, Türkiye
L.N. Gumilyov Eurasian National University, Kazakistan
| Makale Türü | Özgün Makale (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 / Sayı / Sayfa | 1 / 1 / 32–53 | DOI | – |
| 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 |