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arXiv · 1812.03649

Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz--Morrey spaces of the third kind

Fatih Deringoz·Vagif S. Guliyev·Eiichi Nakai·Yoshihiro Sawano·Minglei Shi
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Abstract

In the present paper, we will characterize the boundedness of the generalized fractional integral operators $I_{\rho}$ and the generalized fractional maximal operators $M_{\rho}$ on Orlicz spaces, respectively. Moreover, we will give a characterization for the Spanne-type boundedness and the Adams-type boundedness of the operators $M_{\rho}$ and $I_{\rho}$ on generalized Orlicz--Morrey spaces, respectively. Also we give criteria for the weak versions of the Spanne-type boundedness and the Adams-type boundedness of the operators $M_{\rho}$ and $I_{\rho}$ on generalized Orlicz--Morrey spaces.

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Fatih Deringoz, Vagif S. Guliyev, Eiichi Nakai, Yoshihiro Sawano, Minglei Shi. 2018-12-10. Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz--Morrey spaces of the third kind. https://arxiv.org/abs/1812.03649

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