On fractional maximal function and fractional integrals associated with the Dunkl operator on the real line

GULIYEV, VAGIF; Mammadov, Yagub Y.

doi:10.1016/j.jmaa.2008.11.083

On fractional maximal function and fractional integrals associated with the Dunkl operator on the real line

Yazarlar
Prof. Dr. Vagıf GULIYEV Kurum Bilgileri Fen-Edebiyat Fakültesi Matematik Analiz ve Fonksiyonlar Teorisi Özgeçmiş Sayfası İletişim Bilgileri: (386)280-4656 Kırşehir Ahi Evran Üniversitesi
Yagub Y. Mammadov

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

Makale Türü	Özgün Makale
Makale Alt Türü	SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Dergi ISSN	0022-247X
Dergi Grubu	Q1
Makale Dili	İngilizce
Basım Tarihi	05-2009
Cilt No	353
Sayı	1
Sayfalar	449 / 459
Doi Numarası	10.1016/j.jmaa.2008.11.083

Atıf Sayıları
WoS	10
SCOPUS	20
Google Scholar	37

On fractional maximal function and fractional integrals associated with the Dunkl operator on the real line

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On fractional maximal function and fractional integrals associated with the Dunkl operator on the real line

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