On fractional maximal function and fractional integrals associated with the Dunkl operator on the real line
    
Yazarlar (2)
Prof. Dr. Vagıf GULIYEV Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Yagub Y. Mammadov
Nakhchivan State University, Azerbaycan
Makale Türü Açık Erişim Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Journal of Mathematical Analysis and Applications (Q1)
Dergi ISSN 0022-247X Wos Dergi Scopus Dergi
Makale Dili İngilizce Basım Tarihi 05-2009
Cilt / Sayı / Sayfa 353 / 1 / 449–459 DOI 10.1016/j.jmaa.2008.11.083
Özet
In this paper we obtain necessary and sufficient conditions on the parameters for the boundedness of the Dunkl-type fractional maximal operator M(beta), and the Dunkl-type fractional integral operator I(beta) from the spaces L(p,alpha)(R) to the spaces L(q,alpha)(R), 1(beta) is bounded from the space L(p,alpha)(R) to the Dunkl-type BMO space BMO(alpha)(R). By this results we get boundedness of the operators M(beta) and I(beta) from the Dunkl-type Besov spaces B(p theta,alpha)(s)(R) to the spaces B(p theta,alpha)(s)(R), 1
Anahtar Kelimeler
Dunkl operator | Dunkl-type Besov spaces | Dunkl-type BMO space | Dunkl-type fractional integral operator | Dunkl-type fractional maximal operator