2 citations · 3 across the 5 of their papers we have counts for
7 papers · 1 filter
Weighted boundedness of the Hardy-Littlewood maximal and Calderón-Zygmund operators on Orlicz-Morrey and weak Orlicz-Morrey spaces
Ryota Kawasumi, Eiichi Nakai
For the Hardy-Littlewood maximal and Calderón-Zygmund operators, the weighted boundedness on the Lebesgue spaces are well known. We extend these to the Orlicz-Morrey spaces. Moreov…
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…
Multiple Fourier series and lattice point problems
Shigehiko Kuratsubo, Eiichi Nakai
For the multiple Fourier series of the periodization of some radial functions on , we investigate the behavior of the spherical partial sum. We show the Gibbs-Wilbrah…
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…