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
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	38

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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