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pro vyhledávání: '"NAKAI, Eiichi"'
We establish the Caffarelli-Kohn-Nirenberg type inequalities involving{ super-logarithms (infinitely iterated logarithms).} As a result the critical Caffarelli-Kohn-Nirenberg type inequalities will be improved, and in certain cases the best constants
Externí odkaz:
http://arxiv.org/abs/2306.08282
Autor:
Kawasumi, Ryota, Nakai, Eiichi
For the Hardy-Littlewood maximal and Calder\'on-Zygmund operators, the weighted boundedness on the Lebesgue spaces are well known. We extend these to the Orlicz-Morrey spaces. Moreover, we prove the weighted boundedness on the weak Orlicz-Morrey spac
Externí odkaz:
http://arxiv.org/abs/2108.07080
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 we prove the weak-weak type modular inequality of the Hardy-Littlewood
Externí odkaz:
http://arxiv.org/abs/2107.10553
Autor:
Nakai, Eiichi, Kuroiwa, Hajime, Kawanishi, Yu, Kadota, Tomohito, Fukuda, Hitoshi, Ueba, Tetsuya
Publikováno v:
In World Neurosurgery April 2024 184:e299-e306
Autor:
Kuratsubo, Shigehiko, Nakai, Eiichi
For the multiple Fourier series of the periodization of some radial functions on $\mathbb{R}^d$, we investigate the behavior of the spherical partial sum. We show the Gibbs-Wilbraham phenomenon, the Pinsky phenomenon and the third phenomenon for the
Externí odkaz:
http://arxiv.org/abs/2011.06178
We consider the commutators $[b,T]$ and $[b,I_{\rho}]$ on Orlicz-Morrey spaces, where $T$ is a Calder\'on-Zygmund operator, $I_{\rho}$ is a generalized fractional integral operator and $b$ is a function in generalized Campanato spaces. We give a nece
Externí odkaz:
http://arxiv.org/abs/2007.00468
Akademický článek
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We investigate the commutators $[b,I_{\rho}]$ of generalized fractional integral operators $I_{\rho}$ with functions $b$ in generalized Campanato spaces and give a necessary and sufficient condition for the boundedness of the commutators on Orlicz sp
Externí odkaz:
http://arxiv.org/abs/1812.09148
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 characterizati
Externí odkaz:
http://arxiv.org/abs/1812.03649
Autor:
Kawasumi, Ryota, Nakai, Eiichi
We characterize the pointwise multipliers from a weak Orlicz space to another weak Orlicz space.
Comment: 17 pages
Comment: 17 pages
Externí odkaz:
http://arxiv.org/abs/1811.02858