TY - JOUR
T1 - Fractional integral operator on weighted non-homogeneous generalized Morrey spaces
AU - Utoyo, Mohammad Imam
AU - Nusantara, Toto
AU - Kuswandari, Inna
AU - Widodo, Basuki
N1 - Publisher Copyright:
© 2015 Pushpa Publishing House, Allahabad, India.
PY - 2015/7/2
Y1 - 2015/7/2
N2 - We establish the necessary and sufficient conditions for the boundedness of the fractional integral operator Kαn on weighted non-homogeneous generalized Morrey spaces. The measure function μ satisfies the growth condition of order s > 0, consequently the previous results on the same operator can be seen as a particular case of this study.
AB - We establish the necessary and sufficient conditions for the boundedness of the fractional integral operator Kαn on weighted non-homogeneous generalized Morrey spaces. The measure function μ satisfies the growth condition of order s > 0, consequently the previous results on the same operator can be seen as a particular case of this study.
KW - Fractional integral operator
KW - Non-homogeneous space
KW - Weighted generalized Morrey space
UR - http://www.scopus.com/inward/record.url?scp=84934299332&partnerID=8YFLogxK
U2 - 10.17654/FJMSJul2015_689_699
DO - 10.17654/FJMSJul2015_689_699
M3 - Article
AN - SCOPUS:84934299332
SN - 0972-0871
VL - 97
SP - 689
EP - 699
JO - Far East Journal of Mathematical Sciences
JF - Far East Journal of Mathematical Sciences
IS - 6
ER -