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Generalized fractional integrals in the vanishing generalized weighted local and global Morrey spaces

Generalized fractional integrals in the vanishing generalized weighted local and global Morrey spaces

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 …