Hitoshi Tanaka
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Research Interests
Latest Publications
- 1 July 2002
- Published by Springer Nature in Acta Mathematica Sinica, English Series
- Vol. 18 (3) , 447-454
The Fefferman-Stein-Type Inequality for the Kakeya Maximal Operator II
- 1 July 2002
- Published by Springer Nature in Acta Mathematica Sinica, English Series
- Vol. 18 (3) , 447-454
The Fefferman-Stein-Type Inequality for the Kakeya Maximal Operator II
- 17 April 2002
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 65 (2) , 253-258
A remark on the derivative of the one-dimensional Hardy-Littlewood maximal function
Dedicated to Professor Kôzô Yabuta on the occasion of his 60th birthdayJ. Kinnunen proved that of P > 1, d ≤ 1 and f is a function in the Sobolev space W1,P(Rd), then the first order weak partial derivatives of the Hardy-Littlewood maximal function ℳf belong to LP(Rd). We shall show that, when d = 1, Kinnunen's result can be extended to the case where P = 1.
- 17 April 2002
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 65 (2) , 253-258
A remark on the derivative of the one-dimensional Hardy-Littlewood maximal function
Dedicated to Professor Kôzô Yabuta on the occasion of his 60th birthdayJ. Kinnunen proved that of P > 1, d ≤ 1 and f is a function in the Sobolev space W1,P(Rd), then the first order weak partial derivatives of the Hardy-Littlewood maximal function ℳf belong to LP(Rd). We shall show that, when d = 1, Kinnunen's result can be extended to the case where P = 1.