2 citations · 2 across the 5 of their papers we have counts for
5 papers
A criterion on weak type bound of rough singular integrals
Feng Liu, Simin Liu, Minglei Shi
In this paper we establish a criterion on weak type bound of the following rough singular integral $$T_{Ω,K,a}f(x)={\rm p.v.}\int_{\mathbb{R}^n}Ω(x-y)K(x,y)m_{x,y}a f(y)d…
Characterization of the boundedness of generalized fractional integral and maximal operators on Orlicz-Morrey and weak Orlicz-Morrey spaces
Ryota Kawasumi, Eiichi Nakai, Minglei Shi
We give necessary and sufficient conditions for the boundedness of generalized fractional integral and maximal operators on Orlicz-Morrey and weak Orlicz-Morrey spaces. To do this…
Commutators of integral operators with functions in Campanato spaces on Orlicz-Morrey spaces
Minglei Shi, Ryutaro Arai, Eiichi Nakai
We consider the commutators and on Orlicz-Morrey spaces, where is a Calderón-Zygmund operator, is a generalized fractional integral operator and is…
Generalized fractional integral operators and their commutators with functions in generalized Campanato spaces on Orlicz spaces
Minglei Shi, Ryutaro Arai, Eiichi Nakai
We investigate the commutators of generalized fractional integral operators with functions in generalized Campanato spaces and give a necessary and sufficient c…
Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz--Morrey spaces of the third kind
Fatih Deringoz, Vagif S. Guliyev, Eiichi Nakai +2
In the present paper, we will characterize the boundedness of the generalized fractional integral operators and the generalized fractional maximal operators on Orlicz s…