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arXiv · 1812.09148

Generalized fractional integral operators and their commutators with functions in generalized Campanato spaces on Orlicz spaces

Minglei Shi·Ryutaro Arai·Eiichi Nakai
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Abstract

We investigate the commutators $[b,I_ρ]$ of generalized fractional integral operators $I_ρ$ with functions $b$ in generalized Campanato spaces and give a necessary and sufficient condition for the boundedness of the commutators on Orlicz spaces. To do this we define Orlicz spaces with generalized Young functions and prove the boundedness of generalized fractional maximal operators on the Orlicz spaces.

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Minglei Shi, Ryutaro Arai, Eiichi Nakai. 2018-12-21. Generalized fractional integral operators and their commutators with functions in generalized Campanato spaces on Orlicz spaces. https://arxiv.org/abs/1812.09148

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