Dyadic Maximal Function Maps the Weighted Hardy Space H1(w) to the Weighted L1(w) Space

Abstract

Yerel olarak integrallenebilen bir fonksiyonu için ikili maksimal operatörünü $Tf$ olarak tanımlayalım.$1

Keywords

• Weighted Hardy Space
• Muchenhoupt Weight
• Dyadic Maximal Function

References

1. Coifman, R, Fefferman, C. Weighted norm inequalities for maximal functions and singular integrals. Studia Math. 1974; 51, 241-250.
2. Demir, S. spaces and inequalities in ergodic theory. Ph.D Thesis, University of Illinois at Urbana-Champaign, Urbana, IL, USA, 1999.
3. Garcia-Cuerva, J. Weighted spaces. Dissertations Math. 1979; 162, 1-63.
4. Garcia-Cuerva, J, Rubio de Francia, JL. Weighted norm inequalities and related topics. Mathematics Studies 116, North-Holland, Amsterdam, 1985.
5. Muckenhoupt, B. (1972). Weighted norm inequalities for the Hardy maximal function. Trans. Amer. Math. Soc. 165, 207-226.