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math.AP2023
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…
math.AP2018★ 3 cited
Hardy-type and Heisenberg's inequality in Morrey spaces
Hendra Gunawan, Denny Ivanal Hakim, Eiichi Nakai +1
We use the Morrey norm estimate for the imaginary power of the Laplacian to prove an interpolation inequality for the fractional power of the Laplacian on Morrey spaces. We then pr…
math.AP2014
A blowup criteria along maximum points of the 3D-Navier-Stokes flow in terms of function spaces with variable growth condition
Eiichi Nakai, Tsuyoshi Yoneda
A blowup criteria along maximum point of the 3D-Navier-Stokes flow in terms of function spaces with variable growth condition is constructed. This criterion is different from the B…