6 citations · 16 across the 16 of their papers we have counts for
17 papers
Numerical experiments on the Hardy conjecture for the Gauss circle problem
Satoshi Yamaguchi, Shoichi Fujima, Shigehiko Kuratsubo +2
The classical unsolved Gauss circle problem concerns estimating the error between the number of lattice points inside a circle and the area of the circle as its radius tends to inf…
Maz'ya--Shaposhnikova Representation of Quasi-Norms of Ball Quasi-Banach Function Spaces on Spaces of Homogeneous Type with Weak Reverse Doubling Property
Eiichi Nakai, Menghao Tang, Dachun Yang +2
Let be a ball quasi-Banach function space on the space of homogeneous type satisfying some mild additional assumptions, , and $…
On the critical Caffarelli-Kohn-Nirenberg type inequalities involving super-logarithms
Hiroshi Ando, Toshio Horiuchi, Eiichi Nakai
We establish the Caffarelli-Kohn-Nirenberg type inequalities involving{ super-logarithms (infinitely iterated logarithms).} As a result the critical Caffarelli-Kohn-Nirenberg type…
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…