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

Sakin Demir

doi:10.46810/tdfd.1417161

Research Article

Year 2024, , 172 - 175, 26.03.2024

Sakin Demir

https://doi.org/10.46810/tdfd.1417161

Abstract

References

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

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

Year 2024, , 172 - 175, 26.03.2024

Sakin Demir

https://doi.org/10.46810/tdfd.1417161

Abstract

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

Keywords

Weighted Hardy Space, Muchenhoupt Weight, Dyadic Maximal Function

References

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

There are 5 citations in total.

Details

Primary Language	English
Subjects	Mathematical Physics (Other)
Journal Section	Articles
Authors	Sakin Demir 0000-0002-8019-6917
Early Pub Date	March 26, 2024
Publication Date	March 26, 2024
Submission Date	January 9, 2024
Acceptance Date	March 20, 2024
Published in Issue	Year 2024

Cite

APA	Demir, S. (2024). Dyadic Maximal Function Maps the Weighted Hardy Space H1(w) to the Weighted L1(w) Space. Türk Doğa Ve Fen Dergisi, 13(1), 172-175. https://doi.org/10.46810/tdfd.1417161
AMA	Demir S. Dyadic Maximal Function Maps the Weighted Hardy Space H1(w) to the Weighted L1(w) Space. TDFD. March 2024;13(1):172-175. doi:10.46810/tdfd.1417161
Chicago	Demir, Sakin. “Dyadic Maximal Function Maps the Weighted Hardy Space H1(w) to the Weighted L1(w) Space”. Türk Doğa Ve Fen Dergisi 13, no. 1 (March 2024): 172-75. https://doi.org/10.46810/tdfd.1417161.
EndNote	Demir S (March 1, 2024) Dyadic Maximal Function Maps the Weighted Hardy Space H1(w) to the Weighted L1(w) Space. Türk Doğa ve Fen Dergisi 13 1 172–175.
IEEE	S. Demir, “Dyadic Maximal Function Maps the Weighted Hardy Space H1(w) to the Weighted L1(w) Space”, TDFD, vol. 13, no. 1, pp. 172–175, 2024, doi: 10.46810/tdfd.1417161.
ISNAD	Demir, Sakin. “Dyadic Maximal Function Maps the Weighted Hardy Space H1(w) to the Weighted L1(w) Space”. Türk Doğa ve Fen Dergisi 13/1 (March 2024), 172-175. https://doi.org/10.46810/tdfd.1417161.
JAMA	Demir S. Dyadic Maximal Function Maps the Weighted Hardy Space H1(w) to the Weighted L1(w) Space. TDFD. 2024;13:172–175.
MLA	Demir, Sakin. “Dyadic Maximal Function Maps the Weighted Hardy Space H1(w) to the Weighted L1(w) Space”. Türk Doğa Ve Fen Dergisi, vol. 13, no. 1, 2024, pp. 172-5, doi:10.46810/tdfd.1417161.
Vancouver	Demir S. Dyadic Maximal Function Maps the Weighted Hardy Space H1(w) to the Weighted L1(w) Space. TDFD. 2024;13(1):172-5.