Affiliation:
1. Department of Aerospace Engineering, Faculty of Aeronautics and Astronautics, Ankara Yildirim Beyazit University, Ankara, Türkiye
Abstract
In this paper, we prove the boundedness of generalized fractional integral
operators I? in the vanishing generalized weighted Morrey-type spaces, such
as vanishing generalized weighted local Morrey spaces and vanishing
generalized weighted global Morrey spaces by using weighted Lp estimates
over balls. In more detail, we obtain the Spanne-type boundedness of the
generalized fractional integral operators I? in the vanishing generalized
weighted local Morrey spaces with wq ? A1+ q/p' for 1 < p < q < ?, and from the
vanishing generalized weighted local Morrey spaces to the vanishing
generalized weighted weak local Morrey spaces with w A1,q for p = 1, 1 < q <
?. We also prove the Adams-type boundedness of the generalized fractional
integral operators I? in the vanishing generalized weighted global Morrey
spaces with w Ap,q for 1 < p < q < ? and from the vanishing generalized
weighted global Morrey spaces to the vanishing generalized weighted weak
global Morrey spaces with w A1,q for p = 1, 1 < q < ?. The our all weight
functions belong to Muckenhoupt-Weeden classes Ap,q.
Publisher
National Library of Serbia
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