Two weighted inequalities for B-fractional integrals
Küçük Resim Yok
Tarih
2016
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
SPRINGER INTERNATIONAL PUBLISHING AG
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper we prove a two weighted inequality for Riesz potentials I-alpha,I-gamma f (B-fractional integrals) associated with the Laplace-Bessel differential operator Delta(B)= Sigma(n)(i=1) partial derivative(2)/partial derivative x(i)(2) + Sigma(k)(j=1) gamma(j)/x(j) partial derivative/partial derivative xj. This result is an analog of Heinig's result (Indiana Univ. Math. J. 33(4):573-582, 1984) for the B-fractional integral. Further, the Stein-Weiss inequality for B-fractional integrals is proved as an application of this result.
Açıklama
Anahtar Kelimeler
Laplace-Bessel differential operator, B-fractional integrals, Stein-Weiss inequality
Kaynak
JOURNAL OF INEQUALITIES AND APPLICATIONS
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
