All Stories

  1. On Doob’s inequality and Burkholder’s inequality in weak spaces

    Article • Collectanea mathematica, September 2015, Springer Science + Business Media

    Masato Kikuchi

  2. Necessary and sufficient conditions for mean oscillation inequalities of martingales.

    Article • Ricerche di Matematica, March 2015, Springer Science + Business Media

    Masato Kikuchi

  3. Relation between the norms of the maximal function and the square function of a martingale

    Article • Mathematica Slovaca, January 2015, De Gruyter

    Masato Kikuchi

  4. On some inequalities for martingale transforms in Banach function spaces

    Article • Acta Scientiarum Mathematicarum, January 2014, University of Szeged

    Masato Kikuchi

  5. Uniform boundedness of conditional expectation operators on a Banach function space

    Article • Mathematical Inequalities & Applications, January 2013, Element d.o.o.

    Masato Kikuchi

  6. On a relation between norms of the maximal function and the square function of a martingale

    Article • Colloquium Mathematicum, January 2013, Institute of Mathematics, Polish Academy of Sciences

    Masato Kikuchi

  7. Analysis of some Banach spaces of martingales

    Article • Forum Mathematicum, January 2012, De Gruyter

    Masato Kikuchi

  8. On certain martingale inequalities for maximal functions and mean oscillations

    Article • MATHEMATICA SCANDINAVICA, December 2011, Aarhus University Library

    Masato Kikuchi

  9. Necessary and sufficient conditions for some inequalities for Doob decompositions.

    Article • Mathematische Zeitschrift, May 2009, Springer Science + Business Media

    Masato Kikuchi

  10. Burkholder-Davis-Gundy inequality in a Banach function space.

    Article • Mathematische Nachrichten, May 2008, Wiley

    Masato Kikuchi

  11. A NECESSARY AND SUFFICIENT CONDITION FOR CERTAIN MARTINGALE INEQUALITIES IN BANACH FUNCTION SPACES

    Article • Glasgow Mathematical Journal, September 2007, Cambridge University Press

    Masato Kikuchi

  12. NEW MARTINGALE INEQUALITIES IN REARRANGEMENT-INVARIANT FUNCTION SPACES

    Article • Proceedings of the Edinburgh Mathematical Society, October 2004, Cambridge University Press

    Masato Kikuchi

  13. A CHARACTERIZATION OF BANACH FUNCTION SPACES ASSOCIATED WITH MARTINGALES This research was partially supported by the Ministry of Education, Science, Sports and Culture, Grant-in-Aid for Scientific Resear...

    Article • Glasgow Mathematical Journal, February 2004, Cambridge University Press

    Masato Kikuchi

  14. On weighted weak type maximal inequalities for martingales

    Article • Mathematical Inequalities & Applications, January 2003, Element d.o.o.

    Masato Kikuchi

  15. Convergence of Weighted Averages of Martingales in Banach Function Spaces

    Article • Journal of Mathematical Analysis and Applications, April 2000, Elsevier

    Masato Kikuchi

  16. A note on the convergence of martingales in Banach function spaces

    Article • Analysis Mathematica, December 1999, Springer Science + Business Media

    Masato Kikuchi

  17. Averaging Operators and Martingale Inequalities in Rearrangement Invariant Function Spaces

    Article • Canadian Mathematical Bulletin, September 1999, Canadian Mathematical Society

    Masato Kikuchi

  18. Convergence of Conditional Expectations in Banach Function Spaces

    Article • Journal of Mathematical Analysis and Applications, June 1999, Elsevier

    Masato Kikuchi

  19. Linear Functionals on Certain Martingale Hardy Spaces.

    Article • Interdisciplinary Information Sciences, January 1998, Graduate School of Information Sciences, Tohoku University

    Masato Kikuchi

  20. A note on the energy inequalities for increasing processes

    Article • January 1992, Springer Science + Business Media

    Masato Kikuchi