Some Sawyer type inequalities for martingales

• Autorzy: Xiang-Qian Chang
• Języki publikacji: EN

Abstrakty

EN

Some martingale analogues of Sawyer's two-weight norm inequality for the Hardy-Littlewood maximal function Mf are shown for the Doob maximal function of martingales.

Kategorie tematyczne

• 42B25: Maximal functions, Littlewood-Paley theory
• 60G46: Martingales and classical analysis

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1994
• Tom: 111
• Numer: 2
• Strony: 187-194

Daty

wydano

1994

otrzymano

1993-11-02

poprawiono

1994-03-02

Twórcy

autor

Xiang-Qian Chang

• Department of Mathematics, Kansas State University, Manhattan, Kansas 66506, U.S.A.
• Department of Mathematics, Brown University, Providence, Rhode Island 02912, U.S.A.

Bibliografia

• [1] J. L. Doob, Stochastic Processes, Wiley, New York, 1953.
• [2] R. A. Hunt, D. S. Kurtz and C. J. Neugebauer, A note on the equivalence of $A_p$ and Sawyer's condition for equal weights, in: Conf. Harmonic Analysis in Honor of A. Zygmund, Wadsworth, Belmont, Calif., 1981, 156-158.
• [3] M. Izumisawa and N. Kazamaki, Weighted norm inequalities for martingales, Tôhoku Math. J. 29 (1977), 115-124.
• [4] B. Muckenhoupt, Weighted norm inequalities for the Hardy maximal function, Trans. Amer. Math. Soc. 165 (1972), 207-226.
• [5] E. Sawyer, A characterization of a two weight norm inequality for maximal operators, Studia Math. 75 (1982), 1-11.